1 Apresentação do trabalho

  1. Foram filtrados os municípios <= a 5000 hab. (b) Na sequência foi criado um conjunto de dados (tabela) com a área e o perímetro (limite) dos municípios, a área e o perímetro urbano dos municípios, mais a população <= a 5000 hab. (c) Com área e perímetro, tando dos municípios, quanto do perímetro urbano dos municípios, foram calculados dois (2) índices fractais. (d) Com esses valores, foi criada uma matriz de distância (euclidiana) entre todas as variáveis. (e) Na sequência foi aplicado o algoritmo de cluster, agrupamento, K-means, com base em 5 grupos. (f) Finalmente foram selecionados (aleatóriamente), de cada grupo, dois municípios para análise, comparação. (g) As imagens apresentadas no final são o resultado de uma amostra/amotragem. (h) Cálculos geométricos e topológicos poderão ser realizados na sequência do trabalho, para aprofundar a avaliação dos resulados, comparação. (i) Outras amostras poderão ser selecionadas.

1.1 Pacotes

## 
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## Loading required package: ggplot2
## Welcome! Related Books: `Practical Guide To Cluster Analysis in R` at https://goo.gl/13EFCZ
## -- Attaching packages ------------------------------------------------------------------- tidyverse 1.2.1 --
## v tibble  1.4.2     v readr   1.1.1
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##  Path to GDAL shared files: D:/Usuários/luis.santos/Documents/R/win-library/3.4/rgdal/gdal
##  GDAL binary built with GEOS: TRUE 
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##  Path to PROJ.4 shared files: D:/Usuários/luis.santos/Documents/R/win-library/3.4/rgdal/proj
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2 Carregando dados - população estimada BR 2019

getwd()
## [1] "G:/UNB_muni_5000/Fractal"
setwd("G:/UNB_muni_5000/Fractal")

pop_2019_br <- read_xls("estimativa_dou_2019c.xls")
str(pop_2019_br)
## Classes 'tbl_df', 'tbl' and 'data.frame':    5569 obs. of  4 variables:
##  $ UF       : chr  "RO" "RO" "RO" "RO" ...
##  $ GEOCOD   : num  1100015 1100023 1100031 1100049 1100056 ...
##  $ MUNICÍPIO: chr  "Alta Floresta D'Oeste" "Ariquemes" "Cabixi" "Cacoal" ...
##  $ POP2019  : num  22945 107863 5312 85359 16323 ...
head(pop_2019_br)
## # A tibble: 6 x 4
##   UF      GEOCOD MUNICÍPIO             POP2019
##   <chr>    <dbl> <chr>                   <dbl>
## 1 RO    1100015. Alta Floresta D'Oeste  22945.
## 2 RO    1100023. Ariquemes             107863.
## 3 RO    1100031. Cabixi                  5312.
## 4 RO    1100049. Cacoal                 85359.
## 5 RO    1100056. Cerejeiras             16323.
## 6 RO    1100064. Colorado do Oeste      15882.

3 Filtrando <= 5000 hab

por_cort_5000 <- filter(pop_2019_br, pop_2019_br$POP2019 <= 5000)
str(por_cort_5000) 
## Classes 'tbl_df', 'tbl' and 'data.frame':    1253 obs. of  4 variables:
##  $ UF       : chr  "RO" "RO" "RO" "RO" ...
##  $ GEOCOD   : num  1100262 1100908 1101468 1101476 1101559 ...
##  $ MUNICÍPIO: chr  "Rio Crespo" "Castanheiras" "Pimenteiras do Oeste" "Primavera de Rondônia" ...
##  $ POP2019  : num  3764 3052 2169 2856 4308 ...

3.1 Tabela 1 <= 5000 hab

datatable(por_cort_5000, rownames = FALSE)

4 Explorando os dados <= 5000 hab - por Estado

hist(por_cort_5000$POP2019, col="blue", xlab = "pop_corte_5000", main= "pop_corte_5000")

pop_uf <-por_cort_5000 %>%  group_by(UF) %>% summarise(length(GEOCOD))
pop_uf
## # A tibble: 22 x 2
##    UF    `length(GEOCOD)`
##    <chr>            <int>
##  1 AL                   5
##  2 AM                   1
##  3 BA                  10
##  4 CE                   1
##  5 ES                   1
##  6 GO                  96
##  7 MA                   4
##  8 MG                 231
##  9 MS                   5
## 10 MT                  34
## # ... with 12 more rows
str(pop_uf)
## Classes 'tbl_df', 'tbl' and 'data.frame':    22 obs. of  2 variables:
##  $ UF            : chr  "AL" "AM" "BA" "CE" ...
##  $ length(GEOCOD): int  5 1 10 1 1 96 4 231 5 34 ...
pop_uf<-data.frame(pop_uf)
head(pop_uf)
##   UF length.GEOCOD.
## 1 AL              5
## 2 AM              1
## 3 BA             10
## 4 CE              1
## 5 ES              1
## 6 GO             96
colnames(pop_uf)<-c("UF", "QUAT")
head(pop_uf)
##   UF QUAT
## 1 AL    5
## 2 AM    1
## 3 BA   10
## 4 CE    1
## 5 ES    1
## 6 GO   96
str(pop_uf)
## 'data.frame':    22 obs. of  2 variables:
##  $ UF  : chr  "AL" "AM" "BA" "CE" ...
##  $ QUAT: int  5 1 10 1 1 96 4 231 5 34 ...

4.1 Tabela 2

datatable(pop_uf, rownames = FALSE)

4.2 Gráficos <= 5000 hab - por Estado

ggplot(pop_uf, aes(x=factor(UF), y=QUAT, size=QUAT, color=UF)) + 
  geom_point()

set.seed(403)
ggplot(pop_uf) + 
  geom_bar(mapping = aes(x=factor(UF), fill=QUAT),
           position = "jitter")

5 Carregando dados para análise

getwd()
## [1] "G:/UNB_muni_5000/Fractal"
setwd("G:/UNB_muni_5000/Fractal")

muni <- read.csv("muni_5000b.csv", stringsAsFactors = F, dec = ",")
str(muni)
## 'data.frame':    1252 obs. of  5 variables:
##  $ Geocod    : int  5201454 5202353 2413557 2203255 4316428 4315552 2110807 3103108 5204607 3505005 ...
##  $ UF        : chr  "GO" "GO" "RN" "PI" ...
##  $ Pop2019   : int  2474 2612 4800 4443 2609 2752 4585 1598 3630 3469 ...
##  $ Area_muni : num  637.3 1126.3 123.9 349.8 88.3 ...
##  $ Perim_muni: num  140129 261071 44983 94220 70266 ...
head(muni)
##    Geocod UF Pop2019 Area_muni Perim_muni
## 1 5201454 GO    2474   637.343  140129.03
## 2 5202353 GO    2612  1126.257  261070.87
## 3 2413557 RN    4800   123.893   44983.32
## 4 2203255 PI    4443   349.813   94219.91
## 5 4316428 RS    2609    88.314   70265.53
## 6 4315552 RS    2752   266.343   92977.79
urb <- read.csv("urb_5000b.csv", stringsAsFactors = F, dec = ",")
str(urb)
## 'data.frame':    1188 obs. of  3 variables:
##  $ Geocod   : int  1700251 5101001 2202455 1701051 1701101 2202711 2202737 2202802 2202851 5102694 ...
##  $ Area_urb : num  1.186 4.462 0.736 1.391 2.507 ...
##  $ Perim_urb: num  4762 8590 3782 5263 7339 ...
head(urb)
##    Geocod Area_urb Perim_urb
## 1 1700251    1.186  4761.904
## 2 5101001    4.462  8589.715
## 3 2202455    0.736  3782.333
## 4 1701051    1.391  5262.766
## 5 1701101    2.507  7339.242
## 6 2202711    1.733  8023.597

5.1 Juntanto as tabelas

total<- merge(muni, urb, by="Geocod")
head(total)
##    Geocod UF Pop2019 Area_muni Perim_muni Area_urb Perim_urb
## 1 1100262 RO    3764  1753.418   210186.7    0.749  4667.312
## 2 1100908 RO    3052   916.691   164329.4    0.769  3669.140
## 3 1101468 RO    2169  6214.758   794410.8    1.127  4794.547
## 4 1101476 RO    2856   622.773   145855.2    1.237  4519.627
## 5 1101559 RO    4308   471.433   106037.2    0.973  5787.011
## 6 1302108 AM    2755 56230.585  1761295.1    1.040  4756.593

5.2 Cálculo da geometria fractal

total2 <- total %>% mutate(fmuni = log(total$Perim_muni) / log(total$Area_muni^.5*100))
head(total2)
##    Geocod UF Pop2019 Area_muni Perim_muni Area_urb Perim_urb    fmuni
## 1 1100262 RO    3764  1753.418   210186.7    0.749  4667.312 1.469544
## 2 1100908 RO    3052   916.691   164329.4    0.769  3669.140 1.498290
## 3 1101468 RO    2169  6214.758   794410.8    1.127  4794.547 1.514109
## 4 1101476 RO    2856   622.773   145855.2    1.237  4519.627 1.520068
## 5 1101559 RO    4308   471.433   106037.2    0.973  5787.011 1.506112
## 6 1302108 AM    2755 56230.585  1761295.1    1.040  4756.593 1.427623
total3 <- total2 %>% mutate(furb = log(total$Perim_urb) / log(total$Area_urb^.5*100)) 

head(total3)
##    Geocod UF Pop2019 Area_muni Perim_muni Area_urb Perim_urb    fmuni
## 1 1100262 RO    3764  1753.418   210186.7    0.749  4667.312 1.469544
## 2 1100908 RO    3052   916.691   164329.4    0.769  3669.140 1.498290
## 3 1101468 RO    2169  6214.758   794410.8    1.127  4794.547 1.514109
## 4 1101476 RO    2856   622.773   145855.2    1.237  4519.627 1.520068
## 5 1101559 RO    4308   471.433   106037.2    0.973  5787.011 1.506112
## 6 1302108 AM    2755 56230.585  1761295.1    1.040  4756.593 1.427623
##       furb
## 1 1.893965
## 2 1.834602
## 3 1.816790
## 4 1.786301
## 5 1.886834
## 6 1.830852

5.3 Tabela 3

datatable(total3, rownames = FALSE)

6 Preparando os dados - análise de cluster - agrupamento

total4 <- total3[, 3:9]
head(total4)
##   Pop2019 Area_muni Perim_muni Area_urb Perim_urb    fmuni     furb
## 1    3764  1753.418   210186.7    0.749  4667.312 1.469544 1.893965
## 2    3052   916.691   164329.4    0.769  3669.140 1.498290 1.834602
## 3    2169  6214.758   794410.8    1.127  4794.547 1.514109 1.816790
## 4    2856   622.773   145855.2    1.237  4519.627 1.520068 1.786301
## 5    4308   471.433   106037.2    0.973  5787.011 1.506112 1.886834
## 6    2755 56230.585  1761295.1    1.040  4756.593 1.427623 1.830852

6.1 Escalonando dos dados - matriz de distância

df <- scale(total4) 
df
##               Pop2019    Area_muni    Perim_muni      Area_urb
##    [1,]  0.4217412752  0.669370733  0.9583951738 -0.4830787026
##    [2,] -0.3028267818  0.210398214  0.4759580700 -0.4553416572
##    [3,] -1.2014132907  3.116563735  7.1046707729  0.0411514557
##    [4,] -0.5022865279  0.049174440  0.2816018171  0.1937052055
##    [5,]  0.9753438356 -0.033840571 -0.1372996267 -0.1724237940
##    [6,] -0.6050693562 30.551904196 17.2766863931 -0.0795046918
##    [7,] -0.0646962687  1.353980181  1.9105033834  0.6915851707
##    [8,] -0.7841760669  0.768266328  2.8388240911  0.1229757397
##    [9,]  0.0848985408 -0.041436658 -0.1278707228  0.4072804552
##   [10,]  1.4709402454  0.357956930  0.8031173498  1.9550075894
##   [11,]  0.4146177128  0.133354535  0.9634818429 -0.0226437487
##   [12,]  0.2070167527  0.566970011  1.7589137088  0.4641413983
##   [13,]  1.2633392852  0.323957198  1.0495316148  0.8274966932
##   [14,]  1.1290092522  0.224293657  0.6074501384  1.9328179530
##   [15,]  1.5716877701  0.452458774  1.5426012096  0.3809302621
##   [16,] -1.1688484342  0.065441740  0.3497803323 -0.4206703504
##   [17,] -1.0935422036 -0.096786399 -0.1806706446 -0.1072417373
##   [18,]  1.0506500662  0.344215077  0.8797073404  1.5236965332
##   [19,] -0.7831584151 -0.103619476 -0.2899975840 -0.1973871349
##   [20,]  0.7585840095 -0.185433748 -0.6072434426 -0.3138827256
##   [21,] -0.4524215914  0.800333578  1.6437032110 -0.2487006689
##   [22,] -1.9778815878  0.077271955  0.8273421008  0.6999062843
##   [23,] -0.0168666357  0.635063823  1.3499740696  0.5418051255
##   [24,]  1.5289463960 -0.173813073 -0.3304165232  1.5750100672
##   [25,]  0.7687605272  1.119467986  1.6437950647  0.6236294094
##   [26,] -1.6563036299  0.262690430  1.1815219823 -0.6855591342
##   [27,]  1.3600162029  1.636120414  3.0504116864  2.1616485777
##   [28,]  0.4939945505 -0.077266297 -0.1383515832  1.5694626581
##   [29,] -0.7739995492  0.055042099  0.5120361106  1.5126017150
##   [30,] -1.3581316626  0.166182052  0.2288873631 -0.4178966459
##   [31,]  0.4349707481  0.401625108  1.4208018232  0.5556736482
##   [32,] -0.9388591353  0.250615021  0.5336230591  0.0383777512
##   [33,]  0.5082416752  0.937119102  3.1052151564 -0.5343922366
##   [34,] -1.1769896484 -0.024156218 -0.0708109938 -0.4775312935
##   [35,]  0.9834850497  0.218920774  0.7023878234  0.1340705579
##   [36,] -0.2193793371 -0.111758612 -0.1489200049  1.5763969195
##   [37,] -1.4517556250  0.001652268  0.9854025934 -0.9088423498
##   [38,]  0.3973176328  2.911152871  5.1401102589  1.2809973858
##   [39,] -0.2458382830 -0.137167765 -0.3441635384 -0.0933732145
##   [40,] -0.6773226315  5.144063581  5.9396504487 -0.1751974985
##   [41,]  0.0777749784  0.117370279  0.1353435584 -0.2251241803
##   [42,] -1.0894715965  0.319404921  1.1364298786 -0.9407399520
##   [43,]  0.2049814491  0.367674195  1.1698572396  0.2048000237
##   [44,]  0.5581066117 -0.072501738  0.2189654625  0.2103474328
##   [45,]  0.9264965508 -0.002544011  0.2445956452  0.5986660686
##   [46,] -1.0355360530 -0.179144267 -0.4078088210 -0.3554882937
##   [47,] -0.6386518644  0.445925195  1.9184953260  0.3434852507
##   [48,] -2.2770712068 -0.176812452 -0.4275362035 -0.5732241002
##   [49,]  1.5258934407  0.474674916  2.1110998996  0.6569138639
##   [50,]  1.1167974310  0.584692570  1.4956373677  0.6804903525
##   [51,] -0.3272504242  0.467913696  0.9003964458 -0.8228575090
##   [52,]  1.2684275440  0.726857559  2.1183598955  1.5361782036
##   [53,]  0.3403291339  0.137571110  0.5083832466  1.5084411582
##   [54,] -0.6732520245 -0.066908345 -0.0873553116  0.1257494442
##   [55,]  0.9600790591  0.945534698  2.2488404163 -0.0739572828
##   [56,]  1.3182924805 -0.004892281  0.4211767770 -0.4719838845
##   [57,] -1.2411017096  0.150659112  0.2081938076  0.3004928304
##   [58,] -0.5246748667  0.180200366  0.4538773778 -0.4442468390
##   [59,]  1.3854574971 -0.169169191 -0.3447238342  0.3726091484
##   [60,]  0.0258747384  1.701520928  1.9963885951  0.3906382280
##   [61,]  0.0859161926  0.495535084  1.6244705296 -0.0309648624
##   [62,] -1.0019535447  1.548865790  2.3990415550  0.0106407058
##   [63,]  1.5055404054  0.718940031  1.4446420849  2.8536878608
##   [64,] -0.4921100102  0.010472133  0.0564239816 -0.4109623845
##   [65,] -0.8350586552 -0.142582885 -0.2956222773 -0.1710369417
##   [66,] -1.7957219218  0.777642954  2.1577711690  0.5653816141
##   [67,] -0.2722972289  0.511653732  1.4177732716  0.3601274780
##   [68,]  1.4811167630 -0.133149211 -0.2887407847 -0.0392859760
##   [69,]  0.6212010212  1.128225318  3.0077192874  2.3779975320
##   [70,] -1.4079965991  0.286441368  0.8296966099 -0.6189902252
##   [71,] -1.2227839778  0.337691372  0.6078590351 -0.0184831919
##   [72,] -0.5663985891  0.927666778  2.3149926171  1.0133348975
##   [73,] -1.4843204815  0.105571330  0.3028098836  0.6264031140
##   [74,] -0.6905521045  0.207144315  0.4440158538 -0.3984807141
##   [75,]  0.0838808890  0.019483436  0.0141542083 -0.3180432824
##   [76,]  1.3569632476  0.250706626  0.8704157278  0.8677154091
##   [77,]  1.2572333746  0.838320597  1.5453785969 -0.2001608394
##   [78,]  1.3416984712  0.252296824  1.4409153887  0.0397646035
##   [79,]  1.5930584572 -0.156799768 -0.5275334255  0.3809302621
##   [80,] -0.1888497841  0.066919488  0.0114854021 -0.2029345439
##   [81,] -0.8126703163 -0.116432663 -0.3194980034 -1.3928537923
##   [82,]  1.4017399253  0.087067660  0.2877131423 -0.2431532598
##   [83,]  0.6120421553 -0.146065522 -0.2873664829 -0.1751974985
##   [84,] -0.0016018593  0.844413704  1.9178584837 -0.4151229414
##   [85,]  0.6771718683 -0.014189918 -0.0909360161 -0.4941735208
##   [86,]  0.2202462256 -0.156855718 -0.4165420630 -0.4858524072
##   [87,]  1.1707329746 -0.146917943 -0.4693335263 -0.6994276569
##   [88,]  0.5347006211  0.972815447  1.3302781011 -0.6217639297
##   [89,]  0.2131226633 -0.006441887 -0.0770208006 -0.5177500094
##   [90,]  0.6110245035  0.912036325  1.6562905092 -0.2514743734
##   [91,]  0.7636722684  0.340709401  0.6286862103 -0.5011077821
##   [92,]  1.5686348149 -0.120511555 -0.3880434494  0.8815839318
##   [93,]  0.6822601271 -0.023289535 -0.1419947579  0.1534864897
##   [94,]  1.4790814595  0.167265405  0.2005318901  0.0397646035
##   [95,]  1.3559455959  0.777529408  1.6000839221 -0.3457803278
##   [96,]  1.6327468761  1.471105179  1.6665312624  0.0189618194
##   [97,]  1.1127268239 -0.100553176 -0.2616224904 -0.2708903052
##   [98,]  1.0231734686  0.177501034  0.5270685617 -0.9032949407
##   [99,]  1.5930584572  0.315508690  0.5620225074  1.0535536134
##  [100,]  1.1330798592  0.234970855  0.6048317671  0.0231223762
##  [101,] -0.8055467540 -0.184022921 -0.5830489377 -0.8727841907
##  [102,]  1.0160499062  0.072490940 -0.1412900064 -0.5330053844
##  [103,] -0.1684967488 -0.194186143 -0.6404921460 -1.2097892925
##  [104,]  1.2338273840  1.450765020  1.2153729265 -0.8381128839
##  [105,]  0.5367359247 -0.167814314 -0.3964395755 -0.0878258055
##  [106,]  1.1748035816 -0.009303036  0.0482428821 -0.6536615319
##  [107,]  1.5421758689  0.068135586  0.2510757001 -0.7812519408
##  [108,]  1.1218856898  0.746550997  1.3271922554  0.7955990910
##  [109,] -0.3476034595  0.712605570  0.8460468367 -1.2208841107
##  [110,]  1.4383753889  0.418487017  1.1042171827 -0.7105224750
##  [111,] -0.5134806973 -0.254908218 -0.7450616419  0.2283765123
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##  [808,] -1.8771340630 -0.239175189 -0.6246085309 -0.7438069295
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##  [810,] -0.7353287822 -0.112866649  0.3608823701 -0.2126425098
##  [811,]  0.0889691479 -0.181178228  0.0296987087  0.0522462739
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##  [813,]  0.6374834495 -0.192289864 -0.3863494535  0.7165485116
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##  [816,] -0.4880394032 -0.253418950 -0.7475381666 -0.2736640097
##  [817,]  1.3559455959  0.060614099  0.9042978965  3.1047081218
##  [818,]  0.0655631573 -0.046748105  0.7874045018  1.0050137839
##  [819,] -1.0813303824 -0.152583742 -0.0211096159 -0.0462202373
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##  [821,] -0.4798981890 -0.114325747 -0.0624627356  4.0533150750
##  [822,]  1.2836923205 -0.103309007  0.1115842722  0.8621680000
##  [823,] -0.8818706364 -0.116364645  0.0290044776 -0.5496476116
##  [824,]  1.2704628476 -0.173186648 -0.1058495866  1.7012136238
##  [825,]  1.4617813795 -0.155087796  0.2896277932  0.6444321935
##  [826,]  0.4390413552 -0.195994657 -0.5054096627  0.1174283306
##  [827,]  1.3925810594 -0.227561645 -0.5421526456  1.3558874084
##  [828,] -1.1464600954 -0.242404952 -0.7246569346 -0.6869459864
##  [829,] -1.2288898884 -0.165931200 -0.2085693951 -0.8408865885
##  [830,] -0.9378414835 -0.218984780 -0.4761309399 -0.9213240202
##  [831,] -2.1264587456 -0.247255083 -0.6824466963 -0.8880395657
##  [832,] -1.0314654459 -0.200097137 -0.3977366785 -0.5593555775
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##  [834,]  0.3901940704 -0.198812472 -0.5290703306  0.7775700115
##  [835,] -0.1725673559 -0.152663279  0.0919491537  0.7983727956
##  [836,] -1.5565737569 -0.247590236 -0.6014625107 -0.8436602930
##  [837,] -0.0881022593 -0.236610248 -0.5615843310  0.4266963870
##  [838,] -0.9042589752 -0.222803668 -0.2769133123 -0.2126425098
##  [839,] -1.7468746370 -0.257328894 -0.7644142349 -0.7923467590
##  [840,]  0.5896538165 -0.194281040 -0.5493981022  0.3060402394
##  [841,]  1.2144920005 -0.210279558 -0.4318969541  0.0064801490
##  [842,] -0.9012060199 -0.235150601 -0.4944727112 -0.0018409647
##  [843,] -0.9001883682 -0.073837416  0.2122555156 -0.0240306010
##  [844,]  0.2273697880 -0.190069951  0.0183487576  0.5945055118
##  [845,] -0.8879765470 -0.074845620  0.1587628988 -0.2542480780
##  [846,]  1.1625917604 -0.107223339  0.1073727536 -0.1127891463
##  [847,]  0.6262892800 -0.197444431  0.0867264873  0.4419517620
##  [848,]  0.5937244235 -0.158089369 -0.3108771719  0.0522462739
##  [849,]  0.4054588469 -0.110301707 -0.2195010444  1.2241364427
##  [850,]  0.1164457455 -0.185112856 -0.0522816963  1.3642085220
##  [851,] -1.4100319027 -0.126784581  0.3671059270  0.7747963070
##  [852,] -1.7417863782 -0.219978173 -0.4024769738  0.4988127051
##  [853,] -0.3272504242 -0.242634788 -0.7814301824  0.9162552386
##  [854,] -2.0521701667 -0.085898015  0.1253810596 -0.7923467590
##  [855,] -0.4198567349 -0.212022797 -0.4387199217 -0.3707436687
##  [856,]  0.2080344044 -0.194958478 -0.2875528098  0.2297633645
##  [857,] -0.1033670358 -0.253506715 -0.6133391555 -0.4997209299
##  [858,]  0.8807022214  0.379647577  0.7427869947 -0.0573150555
##  [859,] -1.6888684864 -0.201261673 -0.3585412310 -0.9781849633
##  [860,] -0.8248821375 -0.254776021 -0.6606094884  0.3268430235
##  [861,] -1.3795023497 -0.210285044 -0.3841099009 -1.1654100198
##  [862,] -0.8951001093  0.147551123  1.1261572802 -0.9019080884
##  [863,] -0.7597524245  0.024050523  0.9103341376 -0.8020547249
##  [864,] -0.5765751067 -0.233752390 -0.5817398309 -0.8284049180
##  [865,] -1.4324202415 -0.237324438 -0.5868480774 -0.1973871349
##  [866,] -1.2482252720 -0.166969024 -0.1957720991  0.0314434898
##  [867,]  0.0034863996 -0.212302000 -0.3206976453  0.6000529208
##  [868,]  1.5228404854 -0.129453743 -0.1246715303  1.3988798288
##  [869,]  1.4180223536 -0.175379135 -0.3266660403  0.3670617394
##  [870,] -0.6274576950 -0.205848507 -0.4407122448  0.2297633645
##  [871,]  0.0391042114  0.045308927  0.7668849643 -0.0587019078
##  [872,]  1.1544505463 -0.154367572 -0.2341913825  2.1103350437
##  [873,] -0.0300961087 -0.150190492  0.1138156715  1.1839177268
##  [874,] -1.6624095405 -0.240480149 -0.6239066830 -0.9116160543
##  [875,] -1.7255039500  0.036729319  0.3748135451 -0.2306715893
##  [876,]  0.3067466257  0.341635325  1.1525274683  0.3961856370
##  [877,]  1.3335572570 -0.029670073  0.0312539615  3.1019344173
##  [878,] -0.6030340526 -0.245755942 -0.7308733271 -0.0087752260
##  [879,] -2.0073934890 -0.240720407 -0.7516778519 -1.0655566563
##  [880,] -0.1501790170 -0.145020018  0.0147740496  0.4211489779
##  [881,] -0.4666687161 -0.208901643 -0.3462313980 -0.3152695779
##  [882,] -1.0569067400 -0.246794863 -0.7001340878  0.2048000237
##  [883,] -0.0718198311 -0.168680448 -0.2149184605 -0.6522746797
##  [884,]  0.4136000610 -0.044654902 -0.0518340109  1.2088810677
##  [885,]  1.4220929606 -0.120811055 -0.0720432806  0.4655282506
##  [886,] -0.9276649658 -0.255558229 -0.6382394324 -0.2431532598
##  [887,] -0.1776556147 -0.113145852  0.1652396082  2.0507003961
##  [888,] -1.8812046701 -0.221656136 -0.4603801974 -0.9670901451
##  [889,] -1.0619949989 -0.119096888 -0.0290623068  0.8385915114
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##  [891,] -1.7519628959 -0.225901235 -0.6030560472 -1.1251913040
##  [892,]  0.5123122823 -0.183946126 -0.2969287750  1.1256699315
##  [893,] -0.6040517044 -0.029304750  0.5332782738  0.4613676938
##  [894,] -0.5114453938 -0.232208269 -0.5582984293  0.2158948418
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##  [903,] -0.3140209513 -0.220203621 -0.5202807729  2.5555146226
##  [904,]  1.2205979111 -0.133697196  0.0306287863  1.4820909650
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##  [909,] -0.1847791770 -0.143098506 -0.0875011875  1.1755966132
##  [910,]  1.5360699584 -0.115322980  0.0846518105  0.8801970795
##  [911,] -0.0687668758  0.225178441  1.2310977256  0.8039202046
##  [912,] -0.4310509043 -0.200134986 -0.3905343134  0.0536331262
##  [913,]  0.3108172327 -0.114809005  0.1087042268  0.6166951481
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##  [919,]  0.9875556568  0.116139370  1.5497547073  1.7012136238
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##  [924,] -1.8791693665 -0.200576006 -0.4328030136 -0.6758511683
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##  [930,]  0.6751365648 -0.099785778  0.0306698580  0.2755294895
##  [931,]  0.7412839295 -0.218124680 -0.6026648985  0.7456724093
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##  [937,] -0.9470003494 -0.161630151  0.6705450775 -0.8658499294
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##  [942,]  0.2151579668 -0.180880374 -0.1526685205  1.1561806814
##  [943,]  0.3728939904  0.279313728  1.5476633662 -0.0573150555
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##  [955,]  0.6710659577 -0.213275647 -0.1122335692  0.7234827729
##  [956,]  1.4994344948 -0.095118309 -0.0033001667  1.5888785899
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##  [965,]  1.6327468761 -0.222331929 -0.4839305063  2.1158824528
##  [966,] -0.1908850876  0.454172940  1.7862814735  0.3365509894
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##  [968,] -1.6970097005 -0.195319962 -0.3497047628 -0.2556349302
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##  [970,]  1.4343047818 -0.245571634 -0.6125168910  2.6872655883
##  [971,] -1.6023680863 -0.233987711 -0.6049857318 -0.3097221688
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##  [973,] -0.6630755068 -0.231800160 -0.4664699032 -0.5912531797
##  [974,] -0.8106350128 -0.227778315 -0.6008379352 -0.6384061570
##  [975,] -1.1271247119 -0.133438288 -0.2663512764 -0.2029345439
##  [976,]  0.3454173928 -0.198576054 -0.4666166734  0.3518063644
##  [977,]  0.8613668379 -0.170070431 -0.3080355575 -0.3776779301
##  [978,] -0.0270431534 -0.156529889 -0.1537046753  1.2213627381
##  [979,] -1.1586719166 -0.245585896 -0.5112882029 -0.8228575090
##  [980,] -1.6593565852 -0.242757659 -0.4383708231 -0.6522746797
##  [981,]  0.8288019814 -0.215590457  0.2126556803 -0.1363656349
##  [982,]  0.4868709882 -0.179046079 -0.4372236885  0.8829707841
##  [983,]  0.4960298541 -0.255945494 -0.7626042620  1.2421655222
##  [984,] -1.0752244718 -0.199318220 -0.5208252145 -0.5468739071
##  [985,] -1.3917141709  0.597383433  1.4297980858 -0.7923467590
##  [986,]  0.5336829694 -0.032644769  0.4011926756  1.2879316471
##  [987,] -0.7841760669 -0.250074543 -0.7176290610 -0.4484073959
##  [988,] -1.4334378933 -0.019596261  0.3678930007 -0.5954137366
##  [989,]  1.0180852097  0.009326796  0.2791499732  1.1617280905
##  [990,]  1.5482817795 -0.227082227 -0.5532407964 -0.7285515546
##  [991,] -1.0640303024 -0.109164050  0.0992730821 -0.2362189984
##  [992,] -1.2736665661 -0.249725128 -0.7299064386  0.7193222161
##  [993,]  0.5642125223  0.021671535  0.3220369366  0.4904915914
##  [994,] -1.8343926889 -0.230579674 -0.5357342718 -0.5316185321
##  [995,]  1.3518749888 -0.136253909  0.0732097426  1.0244297157
##  [996,] -0.9927946788 -0.226696059 -0.3424634302 -0.4858524072
##  [997,] -2.0246935690 -0.221243091 -0.4085786834 -0.9379662474
##  [998,] -1.7407687264 -0.225889715 -0.4689499102 -0.6411798615
##  [999,] -0.4564921984 -0.261043561 -0.7922934175  2.2393123049
## [1000,] -1.4273319827 -0.183801862 -0.1937364425 -0.8894264180
## [1001,]  0.5794772988 -0.163236256 -0.2638920788  1.2005599541
## [1002,] -1.5270618557 -0.125188349  0.2506345374 -0.6550483842
## [1003,] -0.5714868479  0.050569908  0.6545682516 -0.7424200773
## [1004,]  0.4543061317 -0.152355003  0.0279728465  2.6498205770
## [1005,] -1.2818077802 -0.214657402 -0.5861781484 -0.3499408846
## [1006,] -0.6081223115 -0.146339240 -0.2746901715 -0.9518347701
## [1007,]  1.3264336947 -0.140762303 -0.1764663745  1.5167622718
## [1008,] -1.0446949189 -0.107851410  0.0477659921  1.0119480453
## [1009,] -0.7536465139 -0.243994053 -0.5136323494 -0.5635161343
## [1010,] -0.7119227916 -0.154070815 -0.0093295274  0.9675687726
## [1011,] -0.6274576950 -0.233571374 -0.5681408272  0.6139214435
## [1012,] -1.7407687264 -0.167476966 -0.1828017212 -0.3069484642
## [1013,] -0.8014761469  0.316927745  0.8474282923 -0.1585552713
## [1014,] -1.6491800675 -0.245803115 -0.6739092812 -0.3610357028
## [1015,] -1.2431370131 -0.213447337 -0.5829913069 -0.4068018277
## [1016,] -1.3540610556 -0.165147894 -0.2155460554  0.7110011025
## [1017,] -1.0436772671 -0.214176887 -0.5315154204 -0.3513277369
## [1018,] -0.2804384430 -0.243135599 -0.6433732751  0.3629011825
## [1019,]  1.3305043017 -0.185887385 -0.3226036695  0.6791035003
## [1020,] -0.5348513844 -0.218901951 -0.4311211057 -0.1044680327
## [1021,] -0.8269174411 -0.231360785 -0.5540977361 -0.5191368617
## [1022,] -1.4029083403 -0.227508985 -0.5787944747 -0.1280445213
## [1023,]  1.4800991113 -0.252141965 -0.5809927452  4.3944807337
## [1024,] -1.2991078602 -0.243887638 -0.4204381904 -0.3180432824
## [1025,] -0.9581945188 -0.257504974 -0.6960414077  0.8385915114
## [1026,]  0.1805578068  0.443993262  2.4018955414  1.0660352838
## [1027,] -0.1176141605  0.130900947  0.6221789917  0.6374979322
## [1028,] -1.3642375732 -0.242670442 -0.6472514126 -0.9670901451
## [1029,] -0.4096802172 -0.225420171 -0.5777571416  0.4156015688
## [1030,] -0.0514667958 -0.196509181 -0.1247712322  1.0258165680
## [1031,] -0.6335636056 -0.225570469 -0.3993615027 -0.6800117251
## [1032,] -0.4503862878 -0.218284852 -0.5133920317  0.2408581827
## [1033,] -0.5806457138 -0.200632505 -0.5591067542  0.7803437160
## [1034,] -1.4120672062 -0.229422818 -0.5231361270 -0.7549017477
## [1035,] -1.4039259921 -0.211715070 -0.4565879801 -0.6370193047
## [1036,]  0.3128525363 -0.188470976 -0.4547838567 -0.6384061570
## [1037,] -0.9826181612 -0.216900354 -0.5258787864 -0.0836652486
## [1038,] -0.2824737465 -0.244726345 -0.6166697584  0.3601274780
## [1039,] -0.3252151207 -0.221001188 -0.4763842397  1.2199758859
## [1040,] -0.5531691161 -0.164089225 -0.2667887465  0.2658215236
## [1041,] -1.0314654459 -0.241612322 -0.5105952868  0.9412185794
## [1042,] -0.6936050598 -0.200192033 -0.2804032467 -0.0753441350
## [1043,] -0.6640931586 -0.155130581 -0.2478185493 -0.6231507820
## [1044,]  0.9376907203 -0.180204581 -0.2623269369  0.7553803752
## [1045,]  1.2409509464 -0.155283074 -0.2196704650  0.5972792163
## [1046,] -1.9107165713 -0.208153992 -0.6380373354 -0.6952671001
## [1047,]  1.5319993513 -0.254968556 -0.7949864522  4.3625831314
## [1048,]  0.0899867996 -0.128808120  0.1903986871  0.2907848645
## [1049,] -1.3581316626 -0.213864223 -0.3520564735  0.1701287169
## [1050,] -2.2343298327 -0.210167658 -0.5687341045 -0.6883328387
## [1051,] -1.0294301424  0.086957954  0.3760154700 -0.4789181458
## [1052,]  0.1500282538 -0.083234886 -0.0826421799  0.5598342050
## [1053,] -1.2584017896 -0.251726725 -0.6415135092 -0.4331520209
## [1054,] -1.5616620157 -0.220754896 -0.6448312982 -0.6619826456
## [1055,]  1.4312518265 -0.125911316  0.1861814243  1.2241364427
## [1056,]  1.3437337747 -0.172955167 -0.4748205706  2.3488736343
## [1057,] -0.4758275820 -0.143185723  0.5226227221  0.6652349776
## [1058,] -1.2807901284 -0.197730216 -0.0277775863 -0.7507411909
## [1059,]  1.0262264239 -0.178780041 -0.1445757398  2.6498205770
## [1060,]  0.9468495862  0.031488085  0.2399542417  1.8842781236
## [1061,] -0.6081223115 -0.244351697 -0.5472530544 -0.2403795552
## [1062,] -1.8201455641 -0.217457663 -0.4667471159 -0.4941735208
## [1063,] -0.5073747867 -0.236667844 -0.5886122759 -0.0642493169
## [1064,] -0.2203969888 -0.129978690  0.2218344931  0.5806369890
## [1065,] -0.3414975489 -0.252209983 -0.7815206579  0.9495396931
## [1066,] -0.3038444336  2.551125315  2.9950231345  0.6888114662
## [1067,]  0.6893836895  0.859383174  1.9394738057 -0.1890660212
## [1068,]  0.4726238634  0.214468330  0.4432167132 -0.3665831119
## [1069,]  1.5075757089  0.764647655  1.0200721093  1.1506332723
## [1070,]  0.2426345645  0.329410166  0.9829670036  0.2366976259
## [1071,] -0.2539794971  3.378561282  5.1249816512  4.6663037787
## [1072,]  1.4180223536  1.650281895  2.3375845064  1.6609949080
## [1073,]  0.1469752985  0.216085955  0.4574778923 -0.0268043055
## [1074,] -0.3292857277  0.185600675  0.8458979729  1.2407786699
## [1075,] -0.6081223115  0.046601819  0.2966889954  0.0356040466
## [1076,]  0.4604120423  2.255449477  3.4417956391  1.8052275441
## [1077,] -1.2950372532  2.093491765  2.5287333188 -0.0517676464
## [1078,]  0.5082416752  2.005206447  4.0993100036 -0.3388460665
## [1079,]  0.3749292940  1.042981068  2.7149422533  1.7691693851
## [1080,]  0.4878886399  1.578644011  4.1063241059  1.2185890336
## [1081,]  0.6659776989  0.213431603  0.5214446575  0.5958923640
## [1082,] -0.7220993092  2.189604103  3.6514038515 -0.3222038392
## [1083,] -0.6997109704  1.100115735  2.2096680506  2.3960266115
## [1084,] -1.8048807877  0.102951536  0.8332851837  0.5972792163
## [1085,] -0.3933977890  0.885555886  2.7972665493  0.6638481253
## [1086,] -0.9612474741  0.067595281  0.5599930262  0.3823171143
## [1087,]  1.1961742687  1.882411262  3.1831568930  1.8398988509
## [1088,] -0.2071675159  0.376625708  2.0250909574  0.3559669212
## [1089,]  0.7260191530 -0.034576702  0.2123353024  0.1271362965
## [1090,]  1.4017399253 -0.095031641  0.1077005695  0.4502728756
## [1091,]  0.6629247436  6.819932817  5.5547493073 -0.2736640097
## [1092,] -0.7994408434  2.876163037  2.8172230031  1.0327508293
## [1093,]  0.0156982208  0.709964383  1.4112426767  0.7401250002
## [1094,]  0.0808279337  2.398394480  3.7057249083  0.7664751933
## [1095,] -1.7295745570  0.554215518  1.6450320961 -0.1557815667
## [1096,]  0.4634649976  2.165991395  3.0924533246  0.2949454213
## [1097,]  0.2640052515  1.085898852  2.1827549148  2.5735437021
## [1098,]  0.1785225032  2.288544129  3.6786181023  6.7341005144
## [1099,] -0.2265028994  0.785649893  2.2532072477 -0.4900129640
## [1100,]  1.1900683581  0.332611954  0.7335742746  1.1367647496
## [1101,] -0.0728374828  0.810156710  1.9605001533  0.6014397731
## [1102,] -1.5260442039 -0.029707922  0.2269882930 -0.5954137366
## [1103,] -1.3784846979 -0.233293268 -0.7321438766  0.3032665349
## [1104,]  0.4705885599  0.470942148  2.3164026251 -0.4262177595
## [1105,] -0.2275205512 -0.057251418  0.1367535559  0.8482994773
## [1106,]  0.8634021414  1.396659353  2.6389375024  0.9717293294
## [1107,]  0.1754695479 -0.206558309 -0.3872323786  2.1519406118
## [1108,] -0.7505935586  0.325352118  1.4937174250 -0.2084819530
## [1109,] -0.2336264618  0.033139170  0.3914525991  0.0453120125
## [1110,] -0.9490356529 -0.192198259 -0.5033789718  0.3212956144
## [1111,]  1.0740560568  0.632013430  1.9094587912 -0.1987739871
## [1112,]  0.3596645175 -0.221670947 -0.4891185817  0.4280832393
## [1113,] -0.8767823776 -0.177968212 -0.3792769208 -0.2667297484
## [1114,] -2.0338524349 -0.048943883 -0.1824684137 -0.4220572027
## [1115,]  0.4624473458 -0.148606328 -0.0654229991 -0.1724237940
## [1116,]  0.2853759386 -0.134673585 -0.2871686677 -0.0198700442
## [1117,]  0.2955524563  0.829826561  1.3353252661  0.7401250002
## [1118,] -1.2299075402 -0.041063656  0.1443817449  3.0214969856
## [1119,]  0.0869338443 -0.119488541  0.2605329986  0.4724625119
## [1120,]  0.0329983008  0.678936603  1.9174932888  1.1950125450
## [1121,] -1.0406243118 -0.026639976  0.2296582985 -0.1169497031
## [1122,] -0.3903448337 -0.162306492 -0.2041923379  1.4238431697
## [1123,]  0.1388340844 -0.082154825 -0.0120635286  0.7248696252
## [1124,] -0.5043218314  0.039017251  0.7978966190  0.4003461938
## [1125,] -0.0392549746 -0.055666706 -0.0839235023  0.6985194321
## [1126,] -1.2777371732 -0.013147705  0.2664694852 -0.5968005888
## [1127,] -0.8808529846  0.102462793  1.1122507861 -0.3721305210
## [1128,]  0.3555939104  0.056527527  0.9341881706  1.0618747270
## [1129,] -0.0758904381 -0.121031565 -0.0336400093  0.9772767385
## [1130,]  0.9142847297  0.187144247  0.5439806939  1.8620884872
## [1131,]  0.4766944705  0.046006661  0.3599477582 -0.6148296684
## [1132,] -1.3774670462 -0.174797690 -0.3972524242 -0.6924933955
## [1133,]  0.5530183529  0.406242660  1.3170215892 -0.6328587479
## [1134,] -1.5830327028  0.047460274  0.9433283314 -0.9324188384
## [1135,]  0.3810352046 -0.160811739 -0.1631243949  0.0924649897
## [1136,]  0.2182109221  0.038691422  0.2074723812  0.5570605004
## [1137,] -0.4646334125 -0.154504705 -0.4065387344 -0.4109623845
## [1138,] -0.5592750267  0.039565784  0.3929648865  0.3934119325
## [1139,]  1.2104213934  0.928039232  3.0211551721  0.5958923640
## [1140,]  1.6765059020  0.878785341  1.9365197492  4.4485679722
## [1141,] -0.9968652859  0.431774685  2.8077173319  0.0203486717
## [1142,] -0.4788805373  0.010350359  0.1723801027  0.4863310346
## [1143,] -0.8747470740 -0.222160787 -0.6164088208 -0.1003074759
## [1144,] -0.9989005894 -0.022400912  0.5209343862 -0.2278978848
## [1145,] -1.1332306225 -0.163460058 -0.3760807056  0.0591805352
## [1146,]  1.0191028615  0.366099905  2.0546570136  0.4974258528
## [1147,] -0.7658583351  0.499828454  1.4043731773 -0.7438069295
## [1148,] -1.8527104206 -0.027418344  0.4812918004 -0.3832253391
## [1149,]  1.1493622875  0.462973607  1.6279490179 -0.5191368617
## [1150,] -1.1210188013 -0.130775708 -0.1976461622 -0.0711835782
## [1151,]  0.9570261038  0.100683351  0.4704099548  1.2699025676
## [1152,]  1.5645642078  0.927303649  1.5854405892  1.1728229087
## [1153,]  0.4359883999  0.250513542  1.4884585684  0.7928253865
## [1154,] -1.0151830177 -0.171304082 -0.3003036688 -0.5052683390
## [1155,] -1.1596895684 -0.116829252  0.0956555456  0.0369908989
## [1156,] -0.4279979490  0.065430769  0.5378861067 -0.2584086348
## [1157,] -0.0870846076  0.921246746  1.5800419374 -0.0795046918
## [1158,] -0.4442803772  0.080668472  0.2968828023  0.8053070569
## [1159,]  1.1656447157  0.412252389  1.2938497310  0.7179353639
## [1160,]  0.4166530163 -0.172474652 -0.4080868859 -0.0795046918
## [1161,]  0.1164457455  0.468178089  1.2033932553  0.0841438761
## [1162,]  0.2395816092 -0.069022392 -0.2323402012  0.5307103073
## [1163,] -0.7475406033 -0.040577655  0.1531176486  0.1021729556
## [1164,] -0.2244675959  0.303005973  1.0875838939 -0.3651962596
## [1165,] -1.1159305424  0.224476867  2.1461282246 -0.8630762248
## [1166,]  0.5408065317  0.057601555  0.3843836539  0.4669151028
## [1167,]  0.6731012612  0.029190828  0.3470952195  1.5902654422
## [1168,] -0.1288083299 -0.090602235  0.2467830902  0.1839972396
## [1169,]  1.4770461560 -0.201272095 -0.4544593652  1.4945726355
## [1170,]  1.1636094122 -0.151366547 -0.3391789382 10.4494777478
## [1171,] -0.5033041796  0.348432200  0.4727920063 -0.2140293621
## [1172,]  0.4675356046  0.169168815  0.8169668864  0.2741426372
## [1173,] -0.0066901181  0.253347265  1.4983920415 -0.8519814067
## [1174,] -1.0487655259 -0.198232673 -0.5294547358 -0.0101620783
## [1175,]  0.0055217031  0.158613940  0.6996603553  1.5528204309
## [1176,]  1.4973991913 -0.031230102 -0.0060550508  0.0952386943
## [1177,] -2.0033228819 -0.126575041 -0.3144883330 -0.3915464528
## [1178,]  0.7199132425  0.017741295  0.1005317856  0.9980795225
## [1179,] -1.3367609755 -0.194049010 -0.4806074360 -0.6300850433
## [1180,] -0.3669388431  0.619347799  2.0433373192  0.4502728756
## [1181,]  0.1825931103 -0.175209638 -0.4210235037  1.1187356701
## [1182,]  0.1103398349  0.147507240  0.6549200329  1.3156686926
## [1183,] -0.5256925185 -0.128545921 -0.0730747013  6.7410347758
## [1184,]  0.1530812091  0.160927104  0.9322685962  0.6499796026
## [1185,]  1.2704628476 -0.015730200 -0.1184512347  0.9689556249
## [1186,] -0.5043218314  0.363952398  1.2663618338 -0.3138827256
## [1187,] -0.2824737465  0.069889247  0.1431843543 -0.0046146692
## [1188,]  0.4858533364  0.007156799  0.3757778035  0.2380844782
##             Perim_urb         fmuni          furb
##    [1,] -0.5534554048 -2.230908e+00 -1.398972e-01
##    [2,] -0.8421286445 -1.482135e+00 -1.005392e+00
##    [3,] -0.5166588010 -1.070100e+00 -1.265086e+00
##    [4,] -0.5961661875 -9.148660e-01 -1.709603e+00
##    [5,] -0.2296363257 -1.278398e+00 -2.438614e-01
##    [6,] -0.5276351699 -3.322865e+00 -1.060073e+00
##    [7,]  0.0378797706 -2.342544e+00 -1.203761e+00
##    [8,] -0.5260992186 -5.433388e-01 -1.430402e+00
##    [9,] -0.3812489762 -1.173541e+00 -1.564635e+00
##   [10,]  0.2192718300 -1.544351e+00 -2.130216e+00
##   [11,] -0.4087977708 -2.572563e-01 -9.110674e-01
##   [12,]  0.3712482965 -9.992404e-01 -4.199954e-01
##   [13,] -0.0013287771 -1.052245e+00 -1.427347e+00
##   [14,] -0.0511747491 -1.310569e+00 -2.506617e+00
##   [15,] -0.4798731868 -8.916497e-01 -1.731884e+00
##   [16,] -0.7074935916 -8.879202e-01 -7.127946e-01
##   [17,]  0.1695854975 -6.900036e-01  2.913851e-01
##   [18,] -0.1335339556 -1.376065e+00 -2.320974e+00
##   [19,] -0.7231148323 -9.681963e-01 -1.299406e+00
##   [20,] -0.6916415679 -8.554340e-01 -9.463433e-01
##   [21,] -0.5416701381 -1.684863e+00 -7.278225e-01
##   [22,] -0.2519225133 -1.057350e-01 -1.701036e+00
##   [23,] -0.2481487177 -1.637032e+00 -1.493939e+00
##   [24,]  0.0316000405  1.386646e-01 -2.103632e+00
##   [25,]  0.0798623430 -2.267751e+00 -1.053260e+00
##   [26,] -0.9148528005 -6.161142e-01 -4.959813e-01
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##  [773,] -0.2593931768  8.947949e-01  1.197160e+00
##  [774,] -0.9192547427  1.682630e+00 -4.049588e-01
##  [775,]  5.1690184677  2.069669e+00  6.707519e-01
##  [776,] -0.8408795815  9.645853e-01 -2.854507e-01
##  [777,] -0.8626683419  9.615826e-01  9.907508e-01
##  [778,]  3.1360375557  1.137772e+00  5.062395e-01
##  [779,] -1.0131007595  2.668777e+00  1.101788e+00
##  [780,] -0.5436014284 -1.416798e-01  2.288023e-01
##  [781,]  0.1252253963  6.600531e-01  1.528041e+00
##  [782,]  0.3490072243  7.754393e-01 -1.173305e+00
##  [783,]  0.7713495826  3.002838e-01  5.948978e-01
##  [784,] -0.1170815487  3.203647e-01  1.861743e+00
##  [785,]  0.5942160212  1.064085e+00  1.483831e+00
##  [786,] -0.5129821772  7.857825e-01 -3.985626e-01
##  [787,]  1.0246560327  6.961518e-01 -3.679319e-01
##  [788,]  0.2581608096  9.373445e-01  7.625701e-01
##  [789,] -0.8350854215  1.090449e+00  1.597112e-01
##  [790,]  0.2231618848  5.916113e-01  1.574529e-01
##  [791,] -0.9184819952  2.190156e+00 -1.525282e-01
##  [792,]  2.1875267539 -7.118528e-01 -9.501569e-01
##  [793,]  0.3252487098  1.490225e+00 -1.171079e+00
##  [794,] -0.0203169063  1.994336e+00  2.302914e+00
##  [795,] -0.5454734323  1.287794e+00  1.560794e+00
##  [796,] -0.2278727725  1.803449e-01  8.386362e-01
##  [797,]  0.0975635237  3.993239e-01 -1.684267e-01
##  [798,] -1.0617667877 -8.770471e-01  8.476026e-01
##  [799,]  1.8863949854  2.397253e-01  1.597002e+00
##  [800,] -0.6618404688  1.040155e+00  7.653337e-01
##  [801,] -0.1198946156 -1.956691e-01  1.014454e-01
##  [802,]  0.8369524310  2.463837e-01  3.580542e-01
##  [803,]  0.4667236769  1.402498e+00 -1.092779e+00
##  [804,] -1.0158392123  2.570159e-01  7.891202e-01
##  [805,]  0.4049576701  1.625544e-01  4.961594e-01
##  [806,] -0.5221921009  1.571769e+00 -2.983987e-01
##  [807,]  0.4210439474  1.120831e-01  1.271642e-01
##  [808,] -0.9748078250  1.048209e+00 -4.793939e-01
##  [809,] -0.4777808110 -7.523641e-01  9.335347e-01
##  [810,] -0.0403614900  9.574890e-01  1.884259e-01
##  [811,] -0.4399398991  1.500374e+00 -1.116971e+00
##  [812,] -0.2750008250 -3.479965e-02  1.002939e-01
##  [813,]  1.9147165276  3.900074e-01  8.012877e-01
##  [814,]  0.2487984765  6.781781e-01  4.734797e-01
##  [815,]  0.8060098521  1.550046e+00  1.457564e-01
##  [816,] -0.5235131752  1.166115e+00 -6.266195e-01
##  [817,]  1.3156856896  1.337945e-01 -1.667126e+00
##  [818,]  0.2816385092  9.064210e-01 -1.210557e+00
##  [819,]  0.8197058757  7.062219e-01  1.021541e+00
##  [820,] -0.6697541896  9.223309e-01 -6.571548e-01
##  [821,]  4.1214082965 -7.716995e-02 -4.020310e-01
##  [822,]  0.8555605489  2.338903e-01 -3.547857e-01
##  [823,]  0.4526279762  2.113220e-01  1.900678e+00
##  [824,]  1.7248008205  9.018906e-01 -3.821705e-01
##  [825,]  1.8485829937  1.552206e+00  8.453632e-01
##  [826,] -0.1878272745 -3.826387e-02 -7.379430e-01
##  [827,]  0.7278868750  9.214422e-01 -1.012571e+00
##  [828,] -0.8854189879  5.791633e-01 -3.924625e-01
##  [829,]  0.0937275497  4.013424e-01  2.575966e+00
##  [830,] -0.9858246822  8.848235e-01  3.226069e-01
##  [831,] -1.0344401001  1.180773e+00 -4.550843e-02
##  [832,] -0.8521278003  5.734870e-01 -7.262796e-01
##  [833,] -0.5277297389 -6.735338e-01  1.057063e+00
##  [834,]  2.7498995157 -7.141294e-02  1.315954e+00
##  [835,]  1.9601501462  1.017954e+00  7.313394e-01
##  [836,] -0.8821449332  1.711595e+00  2.881571e-01
##  [837,]  0.2737349104  1.266939e+00 -4.993054e-01
##  [838,]  0.0707493019  1.888413e+00  3.729940e-01
##  [839,] -0.5619307557  1.362913e+00  9.777592e-01
##  [840,]  0.3904388671 -3.072462e-01 -1.551470e-01
##  [841,] -0.5061879569  7.616954e-01 -1.177676e+00
##  [842,] -0.4030455450  1.537434e+00 -9.387908e-01
##  [843,]  0.6560060317  8.967475e-02  7.806311e-01
##  [844,]  1.5953734262  1.710637e+00  7.030741e-01
##  [845,]  0.2359044098 -2.550532e-02  7.294779e-01
##  [846,] -0.4506788333  2.798614e-01 -8.204851e-01
##  [847,]  1.3768660625  2.120400e+00  7.290649e-01
##  [848,]  0.8643574924 -1.310322e-01  8.732604e-01
##  [849,]  1.2307924960 -6.281628e-01 -3.703893e-01
##  [850,]  1.2122346992  1.367246e+00 -5.248190e-01
##  [851,]  3.0913434263  1.195137e+00  1.532111e+00
##  [852,]  1.4649083756  1.259690e+00  7.248262e-01
##  [853,]  0.6879431760  1.611465e-01 -6.046602e-01
##  [854,] -0.6893649705  3.153435e-02  6.380127e-01
##  [855,]  1.6818930913  7.934144e-01  2.702371e+00
##  [856,]  0.1552616165  8.576475e-01 -3.645978e-01
##  [857,] -0.6548704138  2.083813e+00 -3.455681e-01
##  [858,]  0.0859616110 -1.717737e+00  5.678803e-02
##  [859,] -1.0417138171  7.728906e-01  4.386463e-01
##  [860,]  0.9979994259  1.891202e+00  5.333881e-01
##  [861,] -1.2873462948  9.691741e-01  7.080925e-01
##  [862,] -0.8280450904 -1.081930e-01  7.668648e-01
##  [863,] -0.7156803191  4.285673e-01  6.077691e-01
##  [864,] -0.3759487729  1.005670e+00  1.593310e+00
##  [865,] -0.3009393435  1.165515e+00 -3.263418e-01
##  [866,]  0.2755291190  4.676913e-01  1.659626e-01
##  [867,]  0.6047759394  1.300380e+00 -3.120017e-01
##  [868,]  0.9624527527 -2.399101e-02 -8.022678e-01
##  [869,]  1.1460219240  1.902370e-01  6.218630e-01
##  [870,]  0.8922385800  5.703859e-01  5.802998e-01
##  [871,]  1.7046642706  2.967511e-02  1.933709e+00
##  [872,]  1.0414861374  7.074504e-02 -1.301827e+00
##  [873,]  0.9133503188  1.025538e+00 -6.447163e-01
##  [874,] -0.1384940574  1.127348e+00  2.542763e+00
##  [875,]  0.5622710684 -6.238761e-01  1.125098e+00
##  [876,]  0.5498492684 -9.806622e-01 -8.900087e-02
##  [877,]  2.2181862042 -8.426386e-01 -9.736315e-01
##  [878,]  0.5994823878  7.426087e-01  6.794867e-01
##  [879,] -0.7449831232  2.813948e-01  2.114165e+00
##  [880,]  0.3777793431  6.606333e-01 -3.485822e-01
##  [881,] -0.5735491529  1.076694e+00 -6.439795e-01
##  [882,]  0.6683428064  1.029399e+00  3.652767e-01
##  [883,]  0.2259737949  4.410701e-01  1.941691e+00
##  [884,] -0.0011685592 -9.180598e-01 -1.827620e+00
##  [885,]  0.7566801054 -5.045956e-03  5.497651e-02
##  [886,]  0.1941011426  2.101466e+00  6.392514e-01
##  [887,]  1.7948446533  5.129326e-01 -6.047072e-01
##  [888,] -0.5471924484  1.068141e+00  1.964765e+00
##  [889,]  2.3574406790  9.250961e-02  9.740680e-01
##  [890,]  0.1047545290  1.391743e+00 -2.258185e-01
##  [891,] -1.1690959756  5.135250e-01  9.692232e-01
##  [892,]  1.5694592007  5.171641e-01  3.460841e-02
##  [893,]  0.3679759770  2.712766e-01 -4.203905e-01
##  [894,] -0.2476463740  1.056743e+00 -1.014638e+00
##  [895,] -0.8969853287  2.686551e-01  6.288630e-01
##  [896,]  0.9802109062  4.394240e-01  7.023268e-01
##  [897,] -0.2853351658 -2.832054e-01  4.523083e-01
##  [898,] -0.6047228042  5.830512e-02  4.669682e-01
##  [899,]  0.1800589443 -1.002669e+00 -8.771234e-01
##  [900,] -0.6844913401  3.320316e-01  5.344933e-01
##  [901,]  0.7425317700  7.826829e-01  1.443645e-01
##  [902,]  1.9394771267  7.934848e-02  2.624216e+00
##  [903,]  2.4772821871  7.176191e-01 -4.735027e-01
##  [904,]  2.0483954790  4.993834e-01  6.041332e-02
##  [905,]  1.1070597763  6.907966e-01  1.375658e+00
##  [906,] -0.5338868474  2.095017e+00  1.337753e+00
##  [907,]  1.6939267824  1.957270e+00  3.173087e-01
##  [908,] -0.0389568364  3.753095e-01 -1.862750e+00
##  [909,]  1.3610924124  3.288767e-01 -2.006613e-01
##  [910,]  1.3299361132  3.430069e-01  9.812619e-02
##  [911,]  1.1371104567 -3.769241e-01  6.190356e-03
##  [912,]  1.2659987786  6.051412e-01  1.293722e+00
##  [913,]  2.5472100499  3.970502e-01  1.399926e+00
##  [914,]  0.6851037918  2.031061e-01 -1.865214e-01
##  [915,]  0.4884710814  2.332001e-01 -4.667779e-01
##  [916,]  0.8948376375  1.549011e-01  3.434006e-01
##  [917,] -1.2052707953  1.119105e+00  3.869112e-01
##  [918,] -0.0341341055  1.348337e+00  1.793870e+00
##  [919,]  1.8321143915  6.204188e-01 -2.976249e-01
##  [920,] -0.3993061644 -5.507032e-01 -3.804782e-01
##  [921,]  0.4530484758 -1.346817e-01  1.498082e+00
##  [922,] -1.1193859285  3.323567e-01  3.763538e-01
##  [923,] -1.0355792664  1.612061e-01  8.455145e-01
##  [924,] -0.6046288136  4.361804e-01  3.811524e-01
##  [925,]  3.1229910795  2.075543e+00 -1.953331e-01
##  [926,] -0.1951151624  8.963810e-01  2.462309e+00
##  [927,]  0.1493627654  9.192844e-01 -1.270319e+00
##  [928,] -0.0213964970 -1.641395e-01  8.575618e-01
##  [929,]  2.3345830284  7.907887e-01  1.483796e-01
##  [930,]  0.2869844063 -2.731539e-02 -2.482057e-01
##  [931,]  0.1041182848  1.945814e-01 -1.168978e+00
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##  [949,]  1.1122946200 -9.659373e-01  3.764059e-01
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##  [952,]  2.4274521212  1.521722e+00  1.174977e+00
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##  [956,]  2.1036697707 -1.840787e-01  3.861311e-03
##  [957,] -0.2193459436  3.028014e-01  1.086329e+00
##  [958,] -0.8335540974  1.065443e+00 -8.839508e-01
##  [959,]  0.2446400424  9.300937e-01 -1.244958e+00
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##  [962,]  0.0878200225  5.759813e-01  1.739552e+00
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##  [993,] -0.0191965381 -6.142080e-01 -1.030683e+00
##  [994,] -0.4381052023  1.096677e+00  2.784941e-01
##  [995,]  1.2862735670  6.585938e-01 -1.076760e-01
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##  [998,] -0.6515633900  1.210760e+00  1.295094e-01
##  [999,]  3.4025136819  1.485178e+00  2.895960e-01
## [1000,] -0.6611032931  8.817391e-01  1.198913e+00
## [1001,]  1.7313711985  1.492997e-01  9.061971e-02
## [1002,] -0.4642013358  9.080043e-01  6.455124e-01
## [1003,] -0.7947186201 -2.008436e-01  1.137074e-01
## [1004,]  5.0689129649  8.396357e-01  7.802475e-01
## [1005,] -0.0822405281  1.556337e-01  4.574670e-01
## [1006,] -0.9039157631 -2.271253e-01  7.982194e-01
## [1007,]  1.3043342258  7.218822e-03 -5.801500e-01
## [1008,]  2.6043887361  1.337514e-01  9.340147e-01
## [1009,]  0.3273373259  1.955015e+00  1.768625e+00
## [1010,]  0.8431089611  7.697507e-01 -4.892606e-01
## [1011,]  1.5867690913  1.071723e+00  6.686751e-01
## [1012,] -0.1321058766  5.224466e-01  2.563163e-01
## [1013,]  0.1506462434 -1.319374e+00  3.749868e-01
## [1014,]  0.4511553601  1.140876e+00  1.316519e+00
## [1015,]  0.2201405926  1.288819e-01  1.111666e+00
## [1016,]  0.3217667189  3.602882e-01 -8.168117e-01
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## [1018,]  0.4564969192  1.167205e+00 -1.569871e-01
## [1019,]  0.6231697587  4.703659e-01 -3.937481e-01
## [1020,]  0.0520046807  1.089520e+00  1.009891e-01
## [1021,] -0.3248441942  1.037589e+00  4.833230e-01
## [1022,] -0.0101815365  7.218407e-01  4.941797e-02
## [1023,]  2.0785051565  2.165469e+00 -1.687135e+00
## [1024,] -0.5753939718  2.399928e+00 -6.415637e-01
## [1025,]  1.9690413694  1.889372e+00  6.879715e-01
## [1026,]  2.5877642541 -1.329010e-02  8.614441e-01
## [1027,] -0.0338845243 -7.919252e-01 -1.249512e+00
## [1028,] -0.8527394623  1.114435e+00  1.067189e+00
## [1029,]  0.2186364535  6.344066e-01 -5.613173e-01
## [1030,]  1.2280656113  1.468572e+00 -1.639087e-01
## [1031,] -0.8497924949  1.512689e+00 -3.032800e-01
## [1032,] -0.1984366462  6.755955e-01 -9.646180e-01
## [1033,]  1.4829294136 -1.700997e-01  3.585634e-01
## [1034,] -0.7830452746  1.106447e+00  2.013544e-01
## [1035,] -0.6939011023  7.009016e-01 -1.883285e-05
## [1036,] -0.8002924084 -1.238731e-02 -3.016000e-01
## [1037,] -0.6421241292  5.589320e-01 -1.325759e+00
## [1038,] -0.2868578138  1.430500e+00 -1.312143e+00
## [1039,]  1.5368528432  9.654541e-01 -9.152327e-02
## [1040,]  0.7449405327  1.572436e-01  3.525200e-01
## [1041,]  1.4187280376  1.822221e+00  1.074561e-01
## [1042,]  0.3262461671  1.043709e+00  4.534115e-01
## [1043,] -0.7212422500  3.838672e-02 -1.251757e-01
## [1044,]  1.3051457263  5.489130e-01  2.281209e-01
## [1045,]  2.5131131458  1.391236e-01  1.404247e+00
## [1046,] -0.5959981612 -3.697540e-01  4.785185e-01
## [1047,]  6.4905661741  9.094647e-01  3.669152e-01
## [1048,]  1.2831646466  8.259105e-01  8.806117e-01
## [1049,] -0.4430225022  1.232683e+00 -1.327947e+00
## [1050,]  0.2223362134  8.977973e-02  2.080497e+00
## [1051,] -0.1927049537 -9.810882e-01  6.215646e-01
## [1052,]  1.4017857227 -5.652178e-01  5.793526e-01
## [1053,] -0.5431543223  1.769292e+00 -2.597216e-01
## [1054,] -0.4131679007  5.070047e-02  7.880037e-01
## [1055,]  1.0771357665  7.670985e-01 -5.185551e-01
## [1056,]  3.0308487511 -4.891437e-01  4.068339e-03
## [1057,]  1.3877973159  1.810914e+00  4.217769e-01
## [1058,] -0.6511975496  1.805220e+00  5.600775e-01
## [1059,]  2.5307614026  9.156508e-01 -4.996811e-01
## [1060,]  1.7978344225 -8.718032e-01 -4.742619e-01
## [1061,] -0.5922871224  1.800797e+00 -8.680796e-01
## [1062,] -0.1255667325  8.688148e-01  7.944743e-01
## [1063,]  0.3760094274  1.119842e+00  4.996494e-01
## [1064,]  0.5254952871  9.211574e-01 -3.830957e-01
## [1065,]  0.6413079235  8.034072e-01 -6.963739e-01
## [1066,] -0.2072607746 -2.652134e+00 -1.607140e+00
## [1067,] -0.5331181487 -1.505626e+00 -8.428178e-01
## [1068,] -0.7145125218 -1.563854e+00 -8.754358e-01
## [1069,]  0.9081733155 -2.361015e+00 -6.161447e-01
## [1070,]  0.4380987619 -1.167730e+00  2.129989e-02
## [1071,]  0.5809109986 -2.013741e+00 -3.081495e+00
## [1072,]  0.7391981397 -2.326360e+00 -1.268482e+00
## [1073,] -0.3598017632 -1.544398e+00 -8.017290e-01
## [1074,]  0.2786501859 -7.264930e-01 -1.453766e+00
## [1075,] -0.5061234649 -8.631278e-01 -1.231322e+00
## [1076,]  0.1661694446 -2.121582e+00 -2.091596e+00
## [1077,] -0.3359590909 -2.618855e+00 -7.045379e-01
## [1078,] -0.6608204537 -1.506377e+00 -8.035714e-01
## [1079,]  0.6953418283 -1.178713e+00 -1.404786e+00
## [1080,]  0.6280702849 -1.040643e+00 -9.944212e-01
## [1081,] -0.1661325047 -1.412406e+00 -1.418069e+00
## [1082,] -0.7268961472 -1.935473e+00 -1.020885e+00
## [1083,]  0.3527179739 -1.691560e+00 -2.255302e+00
## [1084,] -0.4117019363 -2.681470e-01 -1.881153e+00
## [1085,]  0.7113344042 -8.231251e-01 -2.705724e-01
## [1086,] -0.4264312783 -4.940180e-01 -1.621066e+00
## [1087,]  0.4760854316 -1.942975e+00 -1.714879e+00
## [1088,] -0.4134675139 -1.225966e-01 -1.556000e+00
## [1089,] -0.1506894124 -3.466375e-01 -6.883847e-01
## [1090,]  0.1073217742  1.084441e-01 -7.760753e-01
## [1091,] -0.5960331547 -3.194804e+00 -7.995341e-01
## [1092,]  0.1211045584 -3.006035e+00 -1.466639e+00
## [1093,]  0.5652113842 -1.745085e+00 -5.406583e-01
## [1094,] -0.2204365240 -2.079005e+00 -1.723523e+00
## [1095,] -0.6504245129 -1.084867e+00 -1.198843e+00
## [1096,]  0.4370292933 -2.272357e+00 -7.557330e-02
## [1097,]  0.7548063663 -1.692039e+00 -1.900435e+00
## [1098,]  3.5796608358 -2.004502e+00 -1.628674e+00
## [1099,] -0.6556723706 -1.061180e+00 -3.767334e-01
## [1100,] -0.0313499588 -1.559358e+00 -1.804551e+00
## [1101,]  0.0569193778 -1.383981e+00 -1.059666e+00
## [1102,] -0.7480477958 -3.617755e-01 -2.964866e-01
## [1103,]  0.1039025402  3.073572e-02 -5.609735e-01
## [1104,] -0.6343735183 -1.767427e-01 -5.047345e-01
## [1105,]  0.3678663695 -2.852441e-01 -9.203840e-01
## [1106,] -0.0314618799 -1.773068e+00 -1.634986e+00
## [1107,]  0.7685848125  8.270110e-01 -1.609857e+00
## [1108,] -0.6023192472 -4.917399e-01 -9.647417e-01
## [1109,] -0.5197628050 -5.618577e-01 -1.279633e+00
## [1110,]  0.0169765464 -1.368339e-01 -7.250952e-01
## [1111,] -0.4894798955 -1.019763e+00 -7.215761e-01
## [1112,] -0.1256080883  9.319946e-01 -1.120033e+00
## [1113,] -0.7278348965  4.342295e-02 -1.156084e+00
## [1114,] -0.7738856720 -1.264830e+00 -8.945218e-01
## [1115,]  0.0805188313  4.988694e-01  2.959943e-01
## [1116,]  0.1397540322 -4.801774e-01  6.496243e-02
## [1117,] -0.1806608514 -2.094648e+00 -1.622211e+00
## [1118,]  1.1962629458 -4.412186e-01 -1.727619e+00
## [1119,]  0.0029956589  8.380942e-01 -9.698957e-01
## [1120,]  0.5776806133 -1.128993e+00 -1.030353e+00
## [1121,] -0.1284870932 -3.859537e-01 -1.785011e-01
## [1122,]  0.0502454655  3.374557e-01 -1.946733e+00
## [1123,]  0.0231391497 -3.775281e-01 -1.267576e+00
## [1124,] -0.3170831720  1.293348e-01 -1.428486e+00
## [1125,] -0.0779230329 -8.926022e-01 -1.397612e+00
## [1126,] -0.6393203168 -4.318621e-01  6.058626e-03
## [1127,] -0.6922867773  1.491046e-01 -8.012314e-01
## [1128,]  0.2750230157  2.097621e-01 -1.279622e+00
## [1129,]  0.0877792450  1.099272e-01 -1.457139e+00
## [1130,]  0.8122349230 -1.240739e+00 -1.350401e+00
## [1131,] -0.5036126140 -7.253515e-01  4.067406e-01
## [1132,] -0.6695265877 -1.068741e-01  2.735291e-01
## [1133,] -0.3749796574 -1.004462e+00  7.637245e-01
## [1134,] -0.8228498674  2.921993e-01  9.559746e-01
## [1135,]  0.3040438480  4.419250e-01  9.154799e-02
## [1136,] -0.0351977901 -1.001042e+00 -1.147000e+00
## [1137,] -0.6342555239 -5.817251e-01 -5.463526e-01
## [1138,]  0.1297809047 -6.087943e-01 -6.593062e-01
## [1139,] -0.2348890998 -7.405495e-01 -1.540309e+00
## [1140,]  1.4441188077 -1.547090e+00 -2.183640e+00
## [1141,]  0.3275345616  3.625976e-01  2.612741e-01
## [1142,]  0.4412285049 -8.549534e-01 -3.594639e-01
## [1143,] -0.4386434070  2.770672e-01 -8.201516e-01
## [1144,] -0.0101760416  1.792901e-01  2.755284e-01
## [1145,] -0.2811483898 -2.734701e-01 -8.079197e-01
## [1146,]  0.1480899878 -5.461206e-02 -7.815090e-01
## [1147,] -0.7998586055 -1.200062e+00  1.037577e-01
## [1148,] -0.0915487805  1.523666e-01  5.310730e-01
## [1149,] -0.6541046071 -8.301214e-01 -2.844015e-01
## [1150,] -0.1310904888 -2.357167e-01 -2.786354e-01
## [1151,]  1.2967944430 -8.841603e-01 -3.547395e-01
## [1152,]  0.1350837107 -1.999704e+00 -1.588422e+00
## [1153,]  0.2175542600 -1.771354e-01 -1.060390e+00
## [1154,] -0.4145112436  1.949855e-01  2.481151e-01
## [1155,] -0.3137316112  3.947964e-01 -8.305232e-01
## [1156,] -0.6958367306 -5.193761e-01 -1.089458e+00
## [1157,] -0.5665209683 -1.994233e+00 -1.150472e+00
## [1158,] -0.3433285337 -1.103995e+00 -1.995853e+00
## [1159,] -0.0975644692 -1.053960e+00 -1.453851e+00
## [1160,] -0.3888370556 -2.064739e-01 -7.570312e-01
## [1161,] -0.2875478495 -1.351759e+00 -8.653520e-01
## [1162,]  0.2309876882 -1.206240e+00 -7.071296e-01
## [1163,] -0.0768179924 -4.250963e-01 -5.158064e-01
## [1164,] -0.5495662176 -9.153053e-01 -4.593622e-01
## [1165,] -0.7441779852  6.438932e-01  8.208857e-01
## [1166,] -0.2843888971 -7.608843e-01 -1.459970e+00
## [1167,] -0.1384353494 -6.219981e-01 -2.383935e+00
## [1168,]  0.1848472602  3.842170e-01 -2.434130e-01
## [1169,]  1.5295149234  3.605833e-01 -3.621181e-01
## [1170,]  7.9311265360 -3.722803e-01 -9.838566e-01
## [1171,]  0.0875452807 -2.069715e+00  4.032472e-01
## [1172,]  0.2126433225 -6.845749e-01 -3.523032e-01
## [1173,] -0.7405941952 -1.784708e-01  7.752367e-01
## [1174,] -0.1240570985 -9.073048e-02 -3.879856e-01
## [1175,]  1.3665950570 -8.176135e-01 -5.561639e-01
## [1176,]  0.3919406925 -9.271746e-01  2.080410e-01
## [1177,] -0.3869190686 -7.146569e-01 -2.213915e-02
## [1178,]  0.1970403015 -1.089779e+00 -1.320528e+00
## [1179,] -0.2232764867  2.370055e-02  1.068312e+00
## [1180,]  0.6069793687 -8.570751e-01 -9.925151e-02
## [1181,]  0.1741768669 -1.978610e-01 -1.478371e+00
## [1182,] -0.0257397311 -8.313274e-01 -1.966007e+00
## [1183,]  7.8165123523  1.171769e-01 -1.123109e-01
## [1184,] -0.1944777614 -4.622188e-01 -1.536498e+00
## [1185,]  1.0468606655 -1.393904e+00 -2.777790e-01
## [1186,] -0.6287002446 -9.167558e-01 -7.835661e-01
## [1187,] -0.2120710698 -1.376931e+00 -5.578327e-01
## [1188,]  0.0662990630 -3.798587e-01 -5.146759e-01
## attr(,"scaled:center")
##      Pop2019    Area_muni   Perim_muni     Area_urb    Perim_urb 
## 3.349574e+03 5.331258e+02 1.190880e+05 1.097327e+00 6.581046e+03 
##        fmuni         furb 
## 1.555190e+00 1.903561e+00 
## attr(,"scaled:scale")
##      Pop2019    Area_muni   Perim_muni     Area_urb    Perim_urb 
## 9.826544e+02 1.823044e+03 9.505336e+04 7.210573e-01 3.457792e+03 
##        fmuni         furb 
## 3.839074e-02 6.858861e-02

6.2 Analisando o número de clusters (ideal) - agrupamento

set.seed(123)
# function to compute total within-cluster sum of square 
wss <- function(k) {
  kmeans(df, k, nstart = 10 )$tot.withinss
}

# Compute and plot wss for k = 1 to k = 15
k.values <- 1:15
k.values
##  [1]  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
# extract wss for 2-15 clusters
wss_values <- map_dbl(k.values, wss)

plot(k.values, wss_values,
     type="b", pch = 19, frame = FALSE, 
     xlab="Number of clusters K",
     ylab="Total within-clusters sum of squares")

7 K-means - clusters - com 5 grupos

set.seed(300)
kf <- kmeans(df, 5)
kf
## K-means clustering with 5 clusters of sizes 29, 268, 33, 392, 466
## 
## Cluster means:
##      Pop2019   Area_muni  Perim_muni    Area_urb   Perim_urb      fmuni
## 1  0.1460980  3.14974954  3.88745572  0.96560805  0.01015585 -1.9974215
## 2  0.5277403 -0.15353021 -0.19574769  0.60340103  0.97711883  0.4032789
## 3  0.7460330 -0.01436831  0.02486888  3.72963216  3.24508175  0.2445018
## 4  0.4626057  0.10089199  0.33903157 -0.06937926 -0.36814618 -0.7973518
## 5 -0.7545746 -0.19157112 -0.41630232 -0.61286546 -0.48269691  0.5457936
##         furb
## 1 -1.3898587
## 2  0.1573986
## 3 -0.7082235
## 4 -0.5972520
## 5  0.5485348
## 
## Clustering vector:
##    [1] 4 4 1 4 4 1 1 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 1 2 2 4 4 4 4 4
##   [35] 4 2 5 1 4 1 4 5 4 2 4 5 4 5 4 4 4 4 2 4 4 4 4 4 4 1 4 1 3 4 5 4 4 4
##   [69] 1 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4
##  [103] 5 4 4 4 4 4 4 4 2 4 2 4 5 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 2 5 4 4 4
##  [137] 4 4 4 4 4 5 4 4 4 1 4 4 4 4 4 4 5 4 5 5 2 5 5 4 4 4 5 5 4 5 5 5 5 5
##  [171] 4 5 5 4 5 4 4 5 4 5 4 5 5 5 5 5 4 3 5 5 4 4 4 4 2 4 5 5 5 4 5 5 5 5
##  [205] 5 5 4 2 5 4 5 5 4 5 4 5 4 5 5 5 4 5 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5
##  [239] 5 4 5 5 5 5 5 4 5 4 5 4 5 5 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 4 4 2 2
##  [273] 5 5 5 5 5 5 5 2 5 5 5 5 5 5 4 4 5 4 4 4 4 4 2 2 2 5 5 4 2 2 5 5 5 5
##  [307] 5 5 4 4 5 4 5 4 4 2 4 5 2 5 2 5 4 4 2 2 2 5 5 4 5 2 5 2 2 2 5 5 5 4
##  [341] 5 5 5 2 2 2 4 2 5 2 2 2 5 5 2 2 4 2 5 2 5 5 4 5 4 2 5 5 2 2 5 4 5 5
##  [375] 4 3 5 2 5 5 4 2 5 5 5 4 2 5 2 5 4 2 2 4 4 2 4 4 4 5 5 2 4 2 5 4 2 4
##  [409] 4 4 5 4 5 4 4 4 2 5 4 5 5 5 2 4 2 5 5 5 2 5 4 5 4 5 2 2 2 5 5 2 2 2
##  [443] 4 4 4 5 2 5 2 5 2 5 4 5 5 2 4 2 2 1 5 5 5 2 2 2 5 2 5 4 5 2 3 5 2 5
##  [477] 4 4 5 2 4 5 4 5 4 5 5 5 5 5 4 2 5 4 5 4 5 5 3 2 5 3 5 5 5 4 4 4 5 5
##  [511] 5 5 5 2 2 4 2 4 5 3 4 4 5 5 2 5 5 5 5 5 2 4 5 4 4 2 4 5 5 4 2 5 5 5
##  [545] 5 5 4 4 5 5 5 5 2 5 4 4 3 5 4 2 2 4 4 2 4 4 4 4 4 2 2 5 5 4 4 4 5 4
##  [579] 4 5 2 5 2 2 2 5 4 2 4 2 5 4 5 5 5 4 5 4 5 4 4 4 5 5 2 2 4 4 2 4 4 4
##  [613] 5 2 2 2 5 4 4 5 3 5 3 4 4 5 2 5 2 5 5 5 5 4 5 5 5 5 2 4 4 4 5 2 5 5
##  [647] 5 5 5 4 5 5 5 4 5 5 5 5 5 2 5 5 4 5 5 4 4 2 4 4 2 4 2 5 5 5 2 4 4 2
##  [681] 2 5 2 5 2 5 3 5 2 2 5 2 2 2 2 4 2 4 5 2 4 2 5 2 2 5 5 5 2 5 5 2 5 2
##  [715] 4 5 5 2 4 3 2 2 4 2 4 4 4 5 5 4 2 2 2 5 2 5 2 4 2 4 5 4 5 2 2 4 5 4
##  [749] 2 4 5 5 2 4 2 2 5 5 5 5 2 4 5 5 5 4 4 2 5 5 5 2 5 5 3 5 5 3 5 5 5 2
##  [783] 2 5 5 5 2 2 5 2 5 3 2 5 5 5 2 5 2 5 5 2 2 5 2 5 5 5 5 5 5 4 2 5 2 5
##  [817] 3 2 5 5 3 2 5 2 2 4 2 5 5 5 5 5 5 2 2 5 2 5 5 2 4 5 5 2 5 4 2 2 2 2
##  [851] 2 2 2 5 2 2 5 4 5 2 5 5 5 5 5 5 2 2 2 2 2 2 2 5 5 4 3 5 5 2 5 5 5 4
##  [885] 2 5 2 5 2 5 5 2 2 5 5 2 5 5 4 5 2 2 3 2 5 5 2 4 2 2 2 2 2 2 2 2 5 5
##  [919] 2 4 5 5 5 5 3 5 2 2 2 2 2 2 5 5 4 5 5 2 5 2 5 2 4 4 5 5 5 5 4 5 5 2
##  [953] 4 5 2 2 5 5 2 5 5 5 5 2 3 4 5 5 2 3 5 2 5 5 5 2 4 2 5 5 2 2 2 5 5 4
##  [987] 5 5 2 5 5 2 4 5 2 5 5 5 3 5 2 5 5 3 5 5 2 2 5 2 2 5 4 5 5 5 5 2 2 5
## [1021] 5 5 3 5 2 2 4 5 2 2 5 5 2 5 5 4 5 5 2 2 2 5 5 2 2 5 3 2 5 5 5 2 5 5
## [1055] 2 3 2 5 3 2 5 5 5 2 2 1 4 4 4 4 1 1 4 4 4 1 1 1 1 1 4 1 1 4 4 4 1 4
## [1089] 4 4 1 1 4 1 4 1 1 3 4 4 4 5 5 4 4 1 2 4 4 5 4 2 5 4 2 4 4 3 2 4 5 4
## [1123] 4 4 4 5 4 4 4 4 4 5 4 5 2 4 4 4 1 3 4 4 5 5 5 4 4 5 4 5 2 4 4 5 5 4
## [1157] 4 4 4 4 4 4 4 4 5 4 4 2 2 3 4 4 4 5 2 4 5 4 5 4 4 4 3 4 2 4 4 4
## 
## Within cluster sum of squares by cluster:
## [1] 1137.4926  794.8409  311.2104 1135.3199 1163.5828
##  (between_SS / total_SS =  45.3 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"    
## [5] "tot.withinss" "betweenss"    "size"         "iter"        
## [9] "ifault"
x <- kf$cluster
x
##    [1] 4 4 1 4 4 1 1 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 1 2 2 4 4 4 4 4
##   [35] 4 2 5 1 4 1 4 5 4 2 4 5 4 5 4 4 4 4 2 4 4 4 4 4 4 1 4 1 3 4 5 4 4 4
##   [69] 1 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4
##  [103] 5 4 4 4 4 4 4 4 2 4 2 4 5 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 2 5 4 4 4
##  [137] 4 4 4 4 4 5 4 4 4 1 4 4 4 4 4 4 5 4 5 5 2 5 5 4 4 4 5 5 4 5 5 5 5 5
##  [171] 4 5 5 4 5 4 4 5 4 5 4 5 5 5 5 5 4 3 5 5 4 4 4 4 2 4 5 5 5 4 5 5 5 5
##  [205] 5 5 4 2 5 4 5 5 4 5 4 5 4 5 5 5 4 5 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5
##  [239] 5 4 5 5 5 5 5 4 5 4 5 4 5 5 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 4 4 2 2
##  [273] 5 5 5 5 5 5 5 2 5 5 5 5 5 5 4 4 5 4 4 4 4 4 2 2 2 5 5 4 2 2 5 5 5 5
##  [307] 5 5 4 4 5 4 5 4 4 2 4 5 2 5 2 5 4 4 2 2 2 5 5 4 5 2 5 2 2 2 5 5 5 4
##  [341] 5 5 5 2 2 2 4 2 5 2 2 2 5 5 2 2 4 2 5 2 5 5 4 5 4 2 5 5 2 2 5 4 5 5
##  [375] 4 3 5 2 5 5 4 2 5 5 5 4 2 5 2 5 4 2 2 4 4 2 4 4 4 5 5 2 4 2 5 4 2 4
##  [409] 4 4 5 4 5 4 4 4 2 5 4 5 5 5 2 4 2 5 5 5 2 5 4 5 4 5 2 2 2 5 5 2 2 2
##  [443] 4 4 4 5 2 5 2 5 2 5 4 5 5 2 4 2 2 1 5 5 5 2 2 2 5 2 5 4 5 2 3 5 2 5
##  [477] 4 4 5 2 4 5 4 5 4 5 5 5 5 5 4 2 5 4 5 4 5 5 3 2 5 3 5 5 5 4 4 4 5 5
##  [511] 5 5 5 2 2 4 2 4 5 3 4 4 5 5 2 5 5 5 5 5 2 4 5 4 4 2 4 5 5 4 2 5 5 5
##  [545] 5 5 4 4 5 5 5 5 2 5 4 4 3 5 4 2 2 4 4 2 4 4 4 4 4 2 2 5 5 4 4 4 5 4
##  [579] 4 5 2 5 2 2 2 5 4 2 4 2 5 4 5 5 5 4 5 4 5 4 4 4 5 5 2 2 4 4 2 4 4 4
##  [613] 5 2 2 2 5 4 4 5 3 5 3 4 4 5 2 5 2 5 5 5 5 4 5 5 5 5 2 4 4 4 5 2 5 5
##  [647] 5 5 5 4 5 5 5 4 5 5 5 5 5 2 5 5 4 5 5 4 4 2 4 4 2 4 2 5 5 5 2 4 4 2
##  [681] 2 5 2 5 2 5 3 5 2 2 5 2 2 2 2 4 2 4 5 2 4 2 5 2 2 5 5 5 2 5 5 2 5 2
##  [715] 4 5 5 2 4 3 2 2 4 2 4 4 4 5 5 4 2 2 2 5 2 5 2 4 2 4 5 4 5 2 2 4 5 4
##  [749] 2 4 5 5 2 4 2 2 5 5 5 5 2 4 5 5 5 4 4 2 5 5 5 2 5 5 3 5 5 3 5 5 5 2
##  [783] 2 5 5 5 2 2 5 2 5 3 2 5 5 5 2 5 2 5 5 2 2 5 2 5 5 5 5 5 5 4 2 5 2 5
##  [817] 3 2 5 5 3 2 5 2 2 4 2 5 5 5 5 5 5 2 2 5 2 5 5 2 4 5 5 2 5 4 2 2 2 2
##  [851] 2 2 2 5 2 2 5 4 5 2 5 5 5 5 5 5 2 2 2 2 2 2 2 5 5 4 3 5 5 2 5 5 5 4
##  [885] 2 5 2 5 2 5 5 2 2 5 5 2 5 5 4 5 2 2 3 2 5 5 2 4 2 2 2 2 2 2 2 2 5 5
##  [919] 2 4 5 5 5 5 3 5 2 2 2 2 2 2 5 5 4 5 5 2 5 2 5 2 4 4 5 5 5 5 4 5 5 2
##  [953] 4 5 2 2 5 5 2 5 5 5 5 2 3 4 5 5 2 3 5 2 5 5 5 2 4 2 5 5 2 2 2 5 5 4
##  [987] 5 5 2 5 5 2 4 5 2 5 5 5 3 5 2 5 5 3 5 5 2 2 5 2 2 5 4 5 5 5 5 2 2 5
## [1021] 5 5 3 5 2 2 4 5 2 2 5 5 2 5 5 4 5 5 2 2 2 5 5 2 2 5 3 2 5 5 5 2 5 5
## [1055] 2 3 2 5 3 2 5 5 5 2 2 1 4 4 4 4 1 1 4 4 4 1 1 1 1 1 4 1 1 4 4 4 1 4
## [1089] 4 4 1 1 4 1 4 1 1 3 4 4 4 5 5 4 4 1 2 4 4 5 4 2 5 4 2 4 4 3 2 4 5 4
## [1123] 4 4 4 5 4 4 4 4 4 5 4 5 2 4 4 4 1 3 4 4 5 5 5 4 4 5 4 5 2 4 4 5 5 4
## [1157] 4 4 4 4 4 4 4 4 5 4 4 2 2 3 4 4 4 5 2 4 5 4 5 4 4 4 3 4 2 4 4 4

7.1 Histograma - com 5 grupos

hist(x, col="blue", xlab = "Grupos", main = "5 Grupos")

table(x)
## x
##   1   2   3   4   5 
##  29 268  33 392 466

8 Juntando a tabela dos grupos

total5 <- data.frame(total3, K = x)
str(total5)
## 'data.frame':    1188 obs. of  10 variables:
##  $ Geocod    : int  1100262 1100908 1101468 1101476 1101559 1302108 1501253 1700251 1701051 1701101 ...
##  $ UF        : chr  "RO" "RO" "RO" "RO" ...
##  $ Pop2019   : int  3764 3052 2169 2856 4308 2755 3286 2579 3433 4795 ...
##  $ Area_muni : num  1753 917 6215 623 471 ...
##  $ Perim_muni: num  210187 164329 794411 145855 106037 ...
##  $ Area_urb  : num  0.749 0.769 1.127 1.237 0.973 ...
##  $ Perim_urb : num  4667 3669 4795 4520 5787 ...
##  $ fmuni     : num  1.47 1.5 1.51 1.52 1.51 ...
##  $ furb      : num  1.89 1.83 1.82 1.79 1.89 ...
##  $ K         : int  4 4 1 4 4 1 1 4 4 4 ...

8.1 Grupo 1

grupo1 <- total5 %>% filter(K == 1)
head(grupo1)
##    Geocod UF Pop2019 Area_muni Perim_muni Area_urb Perim_urb    fmuni
## 1 1101468 RO    2169  6214.758   794410.8    1.127  4794.547 1.514109
## 2 1302108 AM    2755 56230.585  1761295.1    1.040  4756.593 1.427623
## 3 1501253 PA    3286  3001.491   300687.8    1.596  6712.026 1.465258
## 4 1707306 TO    4686  3515.845   409039.9    2.656  8827.143 1.487343
## 5 1712405 TO    3740  5840.285   607672.8    2.021  9020.419 1.489402
## 6 1712702 TO    2684  9910.979   683671.7    0.971  4569.259 1.459420
##       furb K
## 1 1.816790 1
## 2 1.830852 1
## 3 1.820996 1
## 4 1.783733 1
## 5 1.837262 1
## 6 1.835789 1
amostra_G1 <- sample(grupo1$Geocod, size=1)
amostra_G1
## [1] 1101468
amostra_T1 <- sample(grupo1$Geocod, size=1)
amostra_T1
## [1] 5107248
datatable(pop_2019_br, rownames = FALSE)

8.2 Grupo 2

grupo2 <- total5 %>% filter(K == 2)
head(grupo2)
##    Geocod UF Pop2019 Area_muni Perim_muni Area_urb Perim_urb    fmuni
## 1 1707553 TO    3835   392.266   105937.2    2.229 11871.701 1.524224
## 2 1708254 TO    2589   633.470   167758.8    2.188 12302.340 1.536282
## 3 1712009 TO    3134   329.385   104932.7    2.234 10693.391 1.540699
## 4 1714302 TO    3898   400.952   139901.4    1.249  7989.385 1.558610
## 5 1718402 TO    3684   783.924   167411.5    2.185 10409.174 1.515398
## 6 2205540 PI    2845    68.417    48267.4    1.262 12203.754 1.605320
##       furb K
## 1 1.874154 2
## 2 1.884766 2
## 3 1.852857 2
## 4 1.905262 2
## 5 1.851578 2
## 6 1.992897 2
amostra_G2 <- sample(grupo2$Geocod, size=1)
amostra_G2
## [1] 4120333
amostra_T2 <- sample(grupo2$Geocod, size=1)
amostra_T2
## [1] 4113452
datatable(pop_2019_br, rownames = FALSE)

8.3 Grupo 3

grupo3 <- total5 %>% filter(K == 3)
head(grupo3)
##    Geocod UF Pop2019 Area_muni Perim_muni Area_urb Perim_urb    fmuni
## 1 1718907 TO    4829  1843.785  256406.09    3.155  11886.52 1.488892
## 2 2411056 RN    4106   171.117   63784.62    4.767  15895.66 1.541630
## 3 3127206 MG    4349   212.886   94499.43    3.448  16647.97 1.572476
## 4 3160900 MG    3738   118.151   62763.88    4.037  17935.26 1.580159
## 5 3167509 MG    2615   147.019   66736.90    3.261  12694.89 1.564480
## 6 3168101 MG    4773  1260.753  223573.20    4.558  14963.88 1.506745
##       furb K
## 1 1.811538 3
## 2 1.796092 3
## 3 1.860628 3
## 4 1.847005 3
## 5 1.818440 3
## 6 1.792336 3
amostra_G3 <- sample(grupo3$Geocod, size=1)
amostra_G3
## [1] 5204953
amostra_T3 <- sample(grupo3$Geocod, size=1)
amostra_T3
## [1] 5218789
datatable(pop_2019_br, rownames = FALSE)

8.4 Grupo 4

grupo4 <- total5 %>% filter(K == 4)
head(grupo4)
##    Geocod UF Pop2019 Area_muni Perim_muni Area_urb Perim_urb    fmuni
## 1 1100262 RO    3764  1753.418   210186.7    0.749  4667.312 1.469544
## 2 1100908 RO    3052   916.691   164329.4    0.769  3669.140 1.498290
## 3 1101476 RO    2856   622.773   145855.2    1.237  4519.627 1.520068
## 4 1101559 RO    4308   471.433   106037.2    0.973  5787.011 1.506112
## 5 1700251 TO    2579  1933.709   388927.8    1.186  4761.904 1.534331
## 6 1701051 TO    3433   457.585   106933.5    1.391  5262.766 1.510137
##       furb K
## 1 1.893965 4
## 2 1.834602 4
## 3 1.786301 4
## 4 1.886834 4
## 5 1.805451 4
## 6 1.796244 4
amostra_G4 <- sample(grupo4$Geocod, size=1)
amostra_G4
## [1] 2406809
amostra_T4 <- sample(grupo4$Geocod, size=1)
amostra_T4
## [1] 4311122
datatable(pop_2019_br, rownames = FALSE)

8.5 Grupo 5

grupo5 <- total5 %>% filter(K == 5)
head(grupo5)
##    Geocod UF Pop2019 Area_muni Perim_muni Area_urb Perim_urb    fmuni
## 1 1703826 TO    2275   356.680  101914.66    1.020  7167.437 1.528701
## 2 1712157 TO    1923   536.138  212753.84    0.442  3176.405 1.583492
## 3 1713700 TO    2279  1115.415  227109.49    0.419  3284.508 1.520052
## 4 1715150 TO    2332   206.538   80324.41    0.841  4336.267 1.553396
## 5 1715507 TO    1112   210.789   78449.26    0.684  3767.560 1.547978
## 6 1720002 TO    2529   273.191   90988.12    0.974  7820.533 1.540903
##       furb K
## 1 1.923546 5
## 2 1.921279 5
## 3 1.941614 5
## 4 1.853404 5
## 5 1.864932 5
## 6 1.952202 5
amostra_G5 <- sample(grupo5$Geocod, size=1)
amostra_G5
## [1] 4113429
amostra_T5 <- sample(grupo5$Geocod, size=1)
amostra_T5
## [1] 4205357
datatable(pop_2019_br, rownames = FALSE)

9 Carregando imagens - municípios selecionados (aleatórios) - comparando resultados

9.1 Grupo 1 - Indiavaí - MT x Gastão Vidigal - SP

setwd("G:/UNB_muni_5000/Fractal")

g1 <- stack("G1-indiavaí-mt.png")
t1 <- stack("T1-gastão_vidigal_sp.png")

par(mfrow=c(2,1))
plotRGB(g1)
plotRGB(t1)

9.2 Grupo 2 - Passagem - PB x Campina do Simão - PR

setwd("G:/UNB_muni_5000/Fractal")

g2 <- stack("G2-passagem-pb.png")
t2 <- stack("T2-campina_do_simão-pr.png")

par(mfrow=c(2,1))
plotRGB(g2)
plotRGB(t2)

9.3 Grupo 3 - Sandôlandia - TO x Itaúba - MT

setwd("G:/UNB_muni_5000/Fractal")
dir()
##  [1] "estimativa_dou_2019c.xls"     "G1-indiavaí-mt.png"          
##  [3] "G2-passagem-pb.png"           "G3-sandolândia-to.png"       
##  [5] "G4-novo_xingu-rs.png"         "G5-modelo-sc.png"            
##  [7] "morfologia.html"              "morfologia.Rmd"              
##  [9] "morfologia_unb.html"          "morfologia_unb.Rmd"          
## [11] "morfologia_unb_files"         "muni_5000.dbf"               
## [13] "muni_5000b.csv"               "T1-gastão_vidigal_sp.png"    
## [15] "T2-campina_do_simão-pr.png"   "T3-itaúba-mt.png"            
## [17] "T4-novo_horizonte-sc.png"     "T5-santana_dos_montes-mg.png"
## [19] "teste.csv"                    "total3.csv"                  
## [21] "urb_5000.dbf"                 "urb_5000b.csv"
g3 <- stack("G3-sandolândia-to.png")
t3 <- stack("T3-itaúba-mt.png")

par(mfrow=c(2,1))
plotRGB(g3)
plotRGB(t3)

9.4 Grupo 4 - Novo Xingu - RS x Novo Horizonte - SC

setwd("G:/UNB_muni_5000/Fractal")
dir()
##  [1] "estimativa_dou_2019c.xls"     "G1-indiavaí-mt.png"          
##  [3] "G2-passagem-pb.png"           "G3-sandolândia-to.png"       
##  [5] "G4-novo_xingu-rs.png"         "G5-modelo-sc.png"            
##  [7] "morfologia.html"              "morfologia.Rmd"              
##  [9] "morfologia_unb.html"          "morfologia_unb.Rmd"          
## [11] "morfologia_unb_files"         "muni_5000.dbf"               
## [13] "muni_5000b.csv"               "T1-gastão_vidigal_sp.png"    
## [15] "T2-campina_do_simão-pr.png"   "T3-itaúba-mt.png"            
## [17] "T4-novo_horizonte-sc.png"     "T5-santana_dos_montes-mg.png"
## [19] "teste.csv"                    "total3.csv"                  
## [21] "urb_5000.dbf"                 "urb_5000b.csv"
g4 <- stack("G4-novo_xingu-rs.png")
t4 <- stack("T4-novo_horizonte-sc.png")

par(mfrow=c(2,1))
plotRGB(g4)
plotRGB(t4)

9.5 Grupo 5 - Modelo - SC x Santana dos Montes - MG

setwd("G:/UNB_muni_5000/Fractal")
dir()
##  [1] "estimativa_dou_2019c.xls"     "G1-indiavaí-mt.png"          
##  [3] "G2-passagem-pb.png"           "G3-sandolândia-to.png"       
##  [5] "G4-novo_xingu-rs.png"         "G5-modelo-sc.png"            
##  [7] "morfologia.html"              "morfologia.Rmd"              
##  [9] "morfologia_unb.html"          "morfologia_unb.Rmd"          
## [11] "morfologia_unb_files"         "muni_5000.dbf"               
## [13] "muni_5000b.csv"               "T1-gastão_vidigal_sp.png"    
## [15] "T2-campina_do_simão-pr.png"   "T3-itaúba-mt.png"            
## [17] "T4-novo_horizonte-sc.png"     "T5-santana_dos_montes-mg.png"
## [19] "teste.csv"                    "total3.csv"                  
## [21] "urb_5000.dbf"                 "urb_5000b.csv"
g5 <- stack("G5-modelo-sc.png")
t5 <- stack("T5-santana_dos_montes-mg.png")

par(mfrow=c(2,1))
plotRGB(g5)
plotRGB(t5)